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Erschienen in: Granular Computing 2/2023

27.05.2022 | Original Paper

Extended MULTIMOORA method based on 2-tuple linguistic Pythagorean fuzzy sets for multi-attribute group decision-making

verfasst von: Muhammad Akram, Ayesha Khan, Uzma Ahmad

Erschienen in: Granular Computing | Ausgabe 2/2023

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Abstract

Multi-attribute group decision-making (MAGDM) can be considered as the most significant branch in decision sciences and the multi-objective optimization ratio analysis plus full multiplicative form (MULTIMOORA) is a useful MAGDM method which provides effectiveness in problem solving. To upgrade the quality assurance system and enhance the teaching quality, undergraduate teaching audit and evaluation (UTAE) play a very important role. UTAE is an emerging kind of judgment, which plays a vital role in evaluating the teaching quality of a university. Choosing the best university through UTAE can be considered a complicated MAGDM problem. In this study, our main objective is to present a new methodology based on the 2-tuple linguistic Pythagorean fuzzy sets and the MULTIMOORA method to solve the UTAE problem called 2-tuple linguistic Pythagorean fuzzy-MULTIMOORA (2TLPF-MULTIMOORA) method. Motivated by the linguistic evaluations of 2-tuple linguistic terms, the broader structure of Pythagorean fuzzy sets, and the efficiency of the MULTIMOORA method to manage the complex problems, we aim to build the 2TLPF-MULTIMOORA method. In this article, we successfully design a proficient MULTIMOORA method which is based on the 2-tuple linguistic Pythagorean fuzzy sets for dealing with the arising uncertainties in MAGDM problems. Based on the existing MULTIMOORA method, the proposed method includes three methods, namely the ratio analysis method, the reference point method and the fully multiplicative form method. Further, we exhibit the authenticity and applicability of the presented approach through an actual UTAE problem. Moreover, we illustrate a comparative analysis of the established approach with existing techniques to reveal the validity of the presented approach.

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Literatur
Zurück zum Zitat Akram M, Ali G (2020) Hybrid models for decision making based on rough Pythagorean fuzzy bipolar soft information. Granul Comput 5(1):1–15CrossRef Akram M, Ali G (2020) Hybrid models for decision making based on rough Pythagorean fuzzy bipolar soft information. Granul Comput 5(1):1–15CrossRef
Zurück zum Zitat Akram M, Khan A (2021) Complex Pythagorean Dombi fuzzy graphs for decision making. Granul Comput 6(3):645–669MathSciNetCrossRef Akram M, Khan A (2021) Complex Pythagorean Dombi fuzzy graphs for decision making. Granul Comput 6(3):645–669MathSciNetCrossRef
Zurück zum Zitat Akram M, Naz S, Edalatpanah SA, Mehreen R (2021) Group decision-making framework under linguistic \(q\)-rung orthopair fuzzy Einstein models. Soft Comput 25:10309–10334MATHCrossRef Akram M, Naz S, Edalatpanah SA, Mehreen R (2021) Group decision-making framework under linguistic \(q\)-rung orthopair fuzzy Einstein models. Soft Comput 25:10309–10334MATHCrossRef
Zurück zum Zitat Akram M, Sattar A, Saeid AB (2022) Competition graphs with complex intuitionistic fuzzy information. Granul Comput 7:25–47CrossRef Akram M, Sattar A, Saeid AB (2022) Competition graphs with complex intuitionistic fuzzy information. Granul Comput 7:25–47CrossRef
Zurück zum Zitat Akram M, Shahzadi G (2021) A hybrid decision making model under \(q\)-rung orthopair fuzzy Yager aggregation operators. Granul Comput 6(4):763–777CrossRef Akram M, Shahzadi G (2021) A hybrid decision making model under \(q\)-rung orthopair fuzzy Yager aggregation operators. Granul Comput 6(4):763–777CrossRef
Zurück zum Zitat Akram M, Shahzadi G, Alcantud JCR (2022a) Multi-attribute decision-making with q-rung picture fuzzy information. Granul Comput 7:197–215CrossRef Akram M, Shahzadi G, Alcantud JCR (2022a) Multi-attribute decision-making with q-rung picture fuzzy information. Granul Comput 7:197–215CrossRef
Zurück zum Zitat Akram M, Shahzadi G, Peng X (2021) Extension of Einstein geometric operators to multiattribute decision making under \(q\)-rung orthopair fuzzy information. Granul Comput 6(4):779–795CrossRef Akram M, Shahzadi G, Peng X (2021) Extension of Einstein geometric operators to multiattribute decision making under \(q\)-rung orthopair fuzzy information. Granul Comput 6(4):779–795CrossRef
Zurück zum Zitat Baležentis A, Baležentis T (2011) An innovative multi-criteria supplier selection based on two-tuple MULTIMOORA and hybrid data. Econ Comput Econ Cybern Stud Res 45(2):37–56 Baležentis A, Baležentis T (2011) An innovative multi-criteria supplier selection based on two-tuple MULTIMOORA and hybrid data. Econ Comput Econ Cybern Stud Res 45(2):37–56
Zurück zum Zitat Baležentis T, Baležentis A (2014) A survey on development and applications of the multi-criteria decision making method MULTIMOORA. J Multi-Criteria Decis Anal 21(3–4):209–222CrossRef Baležentis T, Baležentis A (2014) A survey on development and applications of the multi-criteria decision making method MULTIMOORA. J Multi-Criteria Decis Anal 21(3–4):209–222CrossRef
Zurück zum Zitat Baležentis T, Zeng S (2013) Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method. Expert Syst Appl 40(2):543–550CrossRef Baležentis T, Zeng S (2013) Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method. Expert Syst Appl 40(2):543–550CrossRef
Zurück zum Zitat Brauers WKM, Zavadskas EK (2006) The MOORA method and its application to privatization in a transition economy. Control Cybern 35(2):445–469MathSciNetMATH Brauers WKM, Zavadskas EK (2006) The MOORA method and its application to privatization in a transition economy. Control Cybern 35(2):445–469MathSciNetMATH
Zurück zum Zitat Brauers WKM, Zavadskas EK (2010) Project management by MULTIMOORA as an instrument for transition economies. Technol Econ Dev Econ 16(1):5–24CrossRef Brauers WKM, Zavadskas EK (2010) Project management by MULTIMOORA as an instrument for transition economies. Technol Econ Dev Econ 16(1):5–24CrossRef
Zurück zum Zitat Brauers WKM, Zavadskas EK (2011) MULTIMOORA optimization used to decide on a bank loan to buy property. Technol Econ Dev Econ 17(2):259–290CrossRef Brauers WKM, Zavadskas EK (2011) MULTIMOORA optimization used to decide on a bank loan to buy property. Technol Econ Dev Econ 17(2):259–290CrossRef
Zurück zum Zitat Brauers WKM, Zavadskas EK, Kildiene S (2014) Was the construction sector in 20 European countries anti-cyclical during the recession years 2008–2009 as measured by multicriteria analysis (MULTIMOORA)? Procedia Comput Sci 31:949–956CrossRef Brauers WKM, Zavadskas EK, Kildiene S (2014) Was the construction sector in 20 European countries anti-cyclical during the recession years 2008–2009 as measured by multicriteria analysis (MULTIMOORA)? Procedia Comput Sci 31:949–956CrossRef
Zurück zum Zitat Chang TC, Wang H (2016) A multi-criteria group decision-making model for teacher evaluation in higher education based on cloud model and decision tree. Eurasia J Math Sci Technol Educ 12(5):1243–1262MathSciNetCrossRef Chang TC, Wang H (2016) A multi-criteria group decision-making model for teacher evaluation in higher education based on cloud model and decision tree. Eurasia J Math Sci Technol Educ 12(5):1243–1262MathSciNetCrossRef
Zurück zum Zitat Chen SM (1997) Interval-valued fuzzy hypergraph and fuzzy partition. IEEE Trans Syst Man Cybern 27(4):725–733CrossRef Chen SM (1997) Interval-valued fuzzy hypergraph and fuzzy partition. IEEE Trans Syst Man Cybern 27(4):725–733CrossRef
Zurück zum Zitat Chen SM, Hsiao WH (2000) Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets. Fuzzy Set Syst 113(2):185–203MathSciNetMATHCrossRef Chen SM, Hsiao WH (2000) Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets. Fuzzy Set Syst 113(2):185–203MathSciNetMATHCrossRef
Zurück zum Zitat Chen SM, Hsiao WH, Jong WT (1997) Bidirectional approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst 91(3):339–353MathSciNetMATHCrossRef Chen SM, Hsiao WH, Jong WT (1997) Bidirectional approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst 91(3):339–353MathSciNetMATHCrossRef
Zurück zum Zitat Chen SM, Jong WT (1997) Fuzzy query translation for relational database systems. IEEE Trans Syst Man Cybern 27(4):714–721CrossRef Chen SM, Jong WT (1997) Fuzzy query translation for relational database systems. IEEE Trans Syst Man Cybern 27(4):714–721CrossRef
Zurück zum Zitat Chen SM, Niou SJ (2011) Fuzzy multiple-attributes group decision-making based on fuzzy preference relations. Expert Syst Appl 38(4):3865–3872CrossRef Chen SM, Niou SJ (2011) Fuzzy multiple-attributes group decision-making based on fuzzy preference relations. Expert Syst Appl 38(4):3865–3872CrossRef
Zurück zum Zitat Chen X, Zhao L, Liang H (2018) A novel multi-attribute group decision-making method based on the MULTIMOORA with linguistic evaluations. Soft Comput 22(16):5347–5361MATHCrossRef Chen X, Zhao L, Liang H (2018) A novel multi-attribute group decision-making method based on the MULTIMOORA with linguistic evaluations. Soft Comput 22(16):5347–5361MATHCrossRef
Zurück zum Zitat Deng X, Wang J, Wei G (2019) Some 2-tuple linguistic Pythagorean Heronian mean operators and their application to multiple attribute decision-making. J Exp Theor Artif Intell 31(4):555–574CrossRef Deng X, Wang J, Wei G (2019) Some 2-tuple linguistic Pythagorean Heronian mean operators and their application to multiple attribute decision-making. J Exp Theor Artif Intell 31(4):555–574CrossRef
Zurück zum Zitat Deng X, Wang J, Wei W, Lu M (2018) Models for multiple attribute decision making with some 2-tuple linguistic Pythagorean fuzzy Hamy mean operators. Mathematics 6(11):236MATHCrossRef Deng X, Wang J, Wei W, Lu M (2018) Models for multiple attribute decision making with some 2-tuple linguistic Pythagorean fuzzy Hamy mean operators. Mathematics 6(11):236MATHCrossRef
Zurück zum Zitat Fattahi R, Khalilzadeh M (2018) Risk evaluation using a novel hybrid method based on FMEA, extended MULTIMOORA, and AHP methods under fuzzy environment. Saf Sci 102:290–300CrossRef Fattahi R, Khalilzadeh M (2018) Risk evaluation using a novel hybrid method based on FMEA, extended MULTIMOORA, and AHP methods under fuzzy environment. Saf Sci 102:290–300CrossRef
Zurück zum Zitat Feng F, Zheng Y, Sun B, Akram A (2021) Novel score functions of generalized orthopair fuzzy membership grades with application to multiple attribute decision making. Granul Comput 7:95–111CrossRef Feng F, Zheng Y, Sun B, Akram A (2021) Novel score functions of generalized orthopair fuzzy membership grades with application to multiple attribute decision making. Granul Comput 7:95–111CrossRef
Zurück zum Zitat Garg H (2018) Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process. Int J Intell Syst 33(6):1234–1263CrossRef Garg H (2018) Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process. Int J Intell Syst 33(6):1234–1263CrossRef
Zurück zum Zitat Gong JW, Li Q, Yin L, Liu HC (2020) Undergraduate teaching audit and evaluation using an extended MABAC method under \(q\)-rung orthopair fuzzy environment. Int J Intell Syst 35(12):1912–1933CrossRef Gong JW, Li Q, Yin L, Liu HC (2020) Undergraduate teaching audit and evaluation using an extended MABAC method under \(q\)-rung orthopair fuzzy environment. Int J Intell Syst 35(12):1912–1933CrossRef
Zurück zum Zitat Gündogdu FK (2020) A spherical fuzzy extension of MULTIMOORA method. J Intell Fuzzy Syst 38(1):963–978CrossRef Gündogdu FK (2020) A spherical fuzzy extension of MULTIMOORA method. J Intell Fuzzy Syst 38(1):963–978CrossRef
Zurück zum Zitat Hafezalkotob A, Hafezalkotob A (2016) Fuzzy entropy weighted MULTIMOORA method for materials selection. J Intell Fuzzy Syst 31(3):1211–1226MATHCrossRef Hafezalkotob A, Hafezalkotob A (2016) Fuzzy entropy weighted MULTIMOORA method for materials selection. J Intell Fuzzy Syst 31(3):1211–1226MATHCrossRef
Zurück zum Zitat Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2018) An overview of MULTIMOORA for multi-criteria decision-making: theory, developments, applications, and challenges. Inf Fusion 51:145–177CrossRef Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2018) An overview of MULTIMOORA for multi-criteria decision-making: theory, developments, applications, and challenges. Inf Fusion 51:145–177CrossRef
Zurück zum Zitat Hafezalkotob A, Hafezalkotob A, Sayadi MK (2016) Extension of MULTIMOORA method with interval numbers: An application in materials selection. Appl Math Model 40(2):1372–1386MathSciNetMATHCrossRef Hafezalkotob A, Hafezalkotob A, Sayadi MK (2016) Extension of MULTIMOORA method with interval numbers: An application in materials selection. Appl Math Model 40(2):1372–1386MathSciNetMATHCrossRef
Zurück zum Zitat Hatefi MA (2019) Indifference threshold based attribute ratio analysis: A method for assigning the weights to the attributes in multiple attribute decision making. Appl Soft Comput 74:643–651CrossRef Hatefi MA (2019) Indifference threshold based attribute ratio analysis: A method for assigning the weights to the attributes in multiple attribute decision making. Appl Soft Comput 74:643–651CrossRef
Zurück zum Zitat Herrera F, Martínez L (2000a) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Tran Fuzzy Syst 8(6):746–752CrossRef Herrera F, Martínez L (2000a) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Tran Fuzzy Syst 8(6):746–752CrossRef
Zurück zum Zitat Herrera F, Martínez L (2000b) An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. Int J Uncertain Fuzz 8(05):539–562MathSciNetMATHCrossRef Herrera F, Martínez L (2000b) An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. Int J Uncertain Fuzz 8(05):539–562MathSciNetMATHCrossRef
Zurück zum Zitat Jiang Y, Zhang J, Chen C (2018) Research on a new teaching quality evaluation method based on improved fuzzy neural network for college english. Int J Contin Eng Educ Life Long Learn. 28(3–4):293–309CrossRef Jiang Y, Zhang J, Chen C (2018) Research on a new teaching quality evaluation method based on improved fuzzy neural network for college english. Int J Contin Eng Educ Life Long Learn. 28(3–4):293–309CrossRef
Zurück zum Zitat Lazauskas M, Kutut V, Zavadskas EK (2015a) Multicriteria assessment of unfinished construction projects. Gradevinar 67(04):319–328 Lazauskas M, Kutut V, Zavadskas EK (2015a) Multicriteria assessment of unfinished construction projects. Gradevinar 67(04):319–328
Zurück zum Zitat Lazauskas M, Zavadskas EK, Šaparauskas J (2015b) Ranking of priorities among the baltic capital cities for the development of sustainable construction. Econ Manag 18(2):15–24 Lazauskas M, Zavadskas EK, Šaparauskas J (2015b) Ranking of priorities among the baltic capital cities for the development of sustainable construction. Econ Manag 18(2):15–24
Zurück zum Zitat Li C, Zeng S, Pan T, Zheng L (2014) A method based on induced aggregation operators and distance measures to multiple attribute decision making under 2-tuple linguistic environment. J Comput Syst Sci 80(7):1339–1349MathSciNetMATHCrossRef Li C, Zeng S, Pan T, Zheng L (2014) A method based on induced aggregation operators and distance measures to multiple attribute decision making under 2-tuple linguistic environment. J Comput Syst Sci 80(7):1339–1349MathSciNetMATHCrossRef
Zurück zum Zitat Liang W, Zhao G, Hong C (2019) Selecting the optimal mining method with extended multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) approach. Neural Comput Appl 31(10):5871–5886CrossRef Liang W, Zhao G, Hong C (2019) Selecting the optimal mining method with extended multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) approach. Neural Comput Appl 31(10):5871–5886CrossRef
Zurück zum Zitat Liu HC, Fan XJ, Li P, Chen YZ (2014) Evaluating the risk of failure modes with extended MULTIMOORA method under fuzzy environment. Eng Appl Artif Intell 34:168–177CrossRef Liu HC, Fan XJ, Li P, Chen YZ (2014) Evaluating the risk of failure modes with extended MULTIMOORA method under fuzzy environment. Eng Appl Artif Intell 34:168–177CrossRef
Zurück zum Zitat Liu P, Naz S, Akram M, Muzammal M (2022) Group decision-making analysis based on linguistic \(q\)-rung orthopair fuzzy generalized point weighted aggregation operators. Int J Mach Learn Cybern 13:883–906CrossRef Liu P, Naz S, Akram M, Muzammal M (2022) Group decision-making analysis based on linguistic \(q\)-rung orthopair fuzzy generalized point weighted aggregation operators. Int J Mach Learn Cybern 13:883–906CrossRef
Zurück zum Zitat Liu HC, You JX, Lu C, Shan MM (2014) Application of interval 2-tuple linguistic MULTIMOORA method for health-care waste treatment technology evaluation and selection. Waste Manage 34(11):2355–2364CrossRef Liu HC, You JX, Lu C, Shan MM (2014) Application of interval 2-tuple linguistic MULTIMOORA method for health-care waste treatment technology evaluation and selection. Waste Manage 34(11):2355–2364CrossRef
Zurück zum Zitat Lu M, Wei G, Alsaadi FE, Hayat T, Alsaedi A (2017) Bipolar 2-tuple linguistic aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):1197–1207MATHCrossRef Lu M, Wei G, Alsaadi FE, Hayat T, Alsaedi A (2017) Bipolar 2-tuple linguistic aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):1197–1207MATHCrossRef
Zurück zum Zitat Mahmood T, Warraich MS, Ali Z, Pamucar D (2021) Generalized MULTIMOORA method and Dombi prioritized weighted aggregation operators based on T-spherical fuzzy sets and their applications. Int J Int Syst 36(9):4659–4692CrossRef Mahmood T, Warraich MS, Ali Z, Pamucar D (2021) Generalized MULTIMOORA method and Dombi prioritized weighted aggregation operators based on T-spherical fuzzy sets and their applications. Int J Int Syst 36(9):4659–4692CrossRef
Zurück zum Zitat Mora H, Signes-Pont MT, Fuster-Guilló A, Pertegal-Felices ML (2020) A collaborative working model for enhancing the learning process of science and engineering students. Comput Hum Behav 103:140–150CrossRef Mora H, Signes-Pont MT, Fuster-Guilló A, Pertegal-Felices ML (2020) A collaborative working model for enhancing the learning process of science and engineering students. Comput Hum Behav 103:140–150CrossRef
Zurück zum Zitat Naz S, Akram M, Al-Shamiri MMA, Khalaf MM, Yousaf G (2022) A new MAGDM method with 2-tuple linguistic bipolar fuzzy Heronian mean operators. Math Biosci Eng 19(4):3843–3878MATHCrossRef Naz S, Akram M, Al-Shamiri MMA, Khalaf MM, Yousaf G (2022) A new MAGDM method with 2-tuple linguistic bipolar fuzzy Heronian mean operators. Math Biosci Eng 19(4):3843–3878MATHCrossRef
Zurück zum Zitat Park JH, Park JM, Kwun YC (2013) 2-Tuple linguistic harmonic operators and their applications in group decision making. Knowl Based Syst 44:10–19CrossRef Park JH, Park JM, Kwun YC (2013) 2-Tuple linguistic harmonic operators and their applications in group decision making. Knowl Based Syst 44:10–19CrossRef
Zurück zum Zitat Peng X (2019) Neutrosophic reducible weighted maclaurin symmetric mean for undergraduate teaching audit and evaluation. IEEE Access 7:18634–18648CrossRef Peng X (2019) Neutrosophic reducible weighted maclaurin symmetric mean for undergraduate teaching audit and evaluation. IEEE Access 7:18634–18648CrossRef
Zurück zum Zitat Qin Y, Liu Y, Abdullah S, Wei G (2021) Group decision support methodology based upon the multigranular generalized orthopair 2-tuple linguistic information model. Int J Intell Syst 36:3367–3400CrossRef Qin Y, Liu Y, Abdullah S, Wei G (2021) Group decision support methodology based upon the multigranular generalized orthopair 2-tuple linguistic information model. Int J Intell Syst 36:3367–3400CrossRef
Zurück zum Zitat Sarkar B, Biswas A (2022) A multi-criteria decision making approach for strategy formulation using Pythagorean fuzzy logic. Expert Syst 39(1):e12802CrossRef Sarkar B, Biswas A (2022) A multi-criteria decision making approach for strategy formulation using Pythagorean fuzzy logic. Expert Syst 39(1):e12802CrossRef
Zurück zum Zitat Stanujkic D, Zavadskas EK, Smarandache F, Brauers WKM, Karabasevic D (2017) A neutrosophic extension of the MULTIMOORA method. Informatica 28(1):181–192CrossRef Stanujkic D, Zavadskas EK, Smarandache F, Brauers WKM, Karabasevic D (2017) A neutrosophic extension of the MULTIMOORA method. Informatica 28(1):181–192CrossRef
Zurück zum Zitat Streimikiene D, Baležentis T, Krisciukaitienë I, Baležentis A (2012) Prioritizing sustainable electricity production technologies: MCDM approach. Renew Sust Energ Rev 16(5):3302–3311CrossRef Streimikiene D, Baležentis T, Krisciukaitienë I, Baležentis A (2012) Prioritizing sustainable electricity production technologies: MCDM approach. Renew Sust Energ Rev 16(5):3302–3311CrossRef
Zurück zum Zitat Wei GW (2011) Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making. Comput Ind Eng 61(1):32–38MathSciNetCrossRef Wei GW (2011) Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making. Comput Ind Eng 61(1):32–38MathSciNetCrossRef
Zurück zum Zitat Wei GW (2019) 2-tuple intuitionistic fuzzy linguistic aggregation operators in multiple attribute decision making. Iran J Fuzzy Syst 16(4):159–174MathSciNetMATH Wei GW (2019) 2-tuple intuitionistic fuzzy linguistic aggregation operators in multiple attribute decision making. Iran J Fuzzy Syst 16(4):159–174MathSciNetMATH
Zurück zum Zitat Wei Z, Baocun L (2018) The undergraduate teaching evaluation system in China: progress, problems and suggestions. Chin Educ Soc 51(4):248–259CrossRef Wei Z, Baocun L (2018) The undergraduate teaching evaluation system in China: progress, problems and suggestions. Chin Educ Soc 51(4):248–259CrossRef
Zurück zum Zitat Xian S, Liu Z, Gou X, Wan W (2020) Interval 2-tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM. Int J Intell Syst 35(4):650–681CrossRef Xian S, Liu Z, Gou X, Wan W (2020) Interval 2-tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM. Int J Intell Syst 35(4):650–681CrossRef
Zurück zum Zitat Xu Y, Wang H (2011) Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment. Appl Soft Comput 11(5):3988–3997CrossRef Xu Y, Wang H (2011) Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment. Appl Soft Comput 11(5):3988–3997CrossRef
Zurück zum Zitat Yager RR (2013) Pythagorean fuzzy subsets. IEEE :57-61 Yager RR (2013) Pythagorean fuzzy subsets. IEEE :57-61
Zurück zum Zitat Yager RR (2013) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965CrossRef Yager RR (2013) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965CrossRef
Zurück zum Zitat Yang J, Shen L, Jin X, Hou L, Shang S, Zhang Y (2019) Evaluating the quality of simulation teaching in fundamental nursing curriculum: AHP-fuzzy comprehensive evaluation. Nurse Educ Today 77:77–82CrossRef Yang J, Shen L, Jin X, Hou L, Shang S, Zhang Y (2019) Evaluating the quality of simulation teaching in fundamental nursing curriculum: AHP-fuzzy comprehensive evaluation. Nurse Educ Today 77:77–82CrossRef
Zurück zum Zitat Yildirim B, Topkaya EZ (2020) Clarificative evaluation of elementary level grammar program of a tertiary level preparatory class in Turkey. Stud Educ Eval 65:100862CrossRef Yildirim B, Topkaya EZ (2020) Clarificative evaluation of elementary level grammar program of a tertiary level preparatory class in Turkey. Stud Educ Eval 65:100862CrossRef
Zurück zum Zitat Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning part I. Inf Sci 8(3):199–249MATHCrossRef Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning part I. Inf Sci 8(3):199–249MATHCrossRef
Zurück zum Zitat Zavadskas EK, Bausys R, Juodagalviene B, Garnyte-Sapranaviciene I (2017) Model for residential house element and material selection by neutrosophic MULTIMOORA method. Eng Appl Artif Intell 64:315–324CrossRef Zavadskas EK, Bausys R, Juodagalviene B, Garnyte-Sapranaviciene I (2017) Model for residential house element and material selection by neutrosophic MULTIMOORA method. Eng Appl Artif Intell 64:315–324CrossRef
Zurück zum Zitat Zhang X, Wang J, Zhang H, Hu J (2017) A heterogeneous linguistic MAGDM framework to classroom teaching quality evaluation. Eurasia J Math Sci Technol Educ 13(8):4929–4956CrossRef Zhang X, Wang J, Zhang H, Hu J (2017) A heterogeneous linguistic MAGDM framework to classroom teaching quality evaluation. Eurasia J Math Sci Technol Educ 13(8):4929–4956CrossRef
Zurück zum Zitat Zhao X (2014) TOPSIS method for interval valued intuitionistic fuzzy multiple attribute decision making and its application to teaching quality evaluation. J Intell Fuzzy Syst 26(6):3049–3055MathSciNetMATHCrossRef Zhao X (2014) TOPSIS method for interval valued intuitionistic fuzzy multiple attribute decision making and its application to teaching quality evaluation. J Intell Fuzzy Syst 26(6):3049–3055MathSciNetMATHCrossRef
Zurück zum Zitat Zhao H, You JX, Liu HC (2017) Failure mode and effect analysis using MULTIMOORA method with continuous weighted entropy under interval-valued intuitionistic fuzzy environment. Soft Comput 21(18):5355–5367CrossRef Zhao H, You JX, Liu HC (2017) Failure mode and effect analysis using MULTIMOORA method with continuous weighted entropy under interval-valued intuitionistic fuzzy environment. Soft Comput 21(18):5355–5367CrossRef
Zurück zum Zitat Zhou F, Chen TY (2020) An integrated multicriteria group decision-making approach for green supplier selection under Pythagorean fuzzy scenarios. IEEE Access 8:165216–165231CrossRef Zhou F, Chen TY (2020) An integrated multicriteria group decision-making approach for green supplier selection under Pythagorean fuzzy scenarios. IEEE Access 8:165216–165231CrossRef
Zurück zum Zitat Zhou WY, You XY, Zhao H, Liu HC (2018) Robot evaluation and selection using the hesitant fuzzy linguistic MULTIMOORA method. J Test Eval 47(2):1405–1426 Zhou WY, You XY, Zhao H, Liu HC (2018) Robot evaluation and selection using the hesitant fuzzy linguistic MULTIMOORA method. J Test Eval 47(2):1405–1426
Metadaten
Titel
Extended MULTIMOORA method based on 2-tuple linguistic Pythagorean fuzzy sets for multi-attribute group decision-making
verfasst von
Muhammad Akram
Ayesha Khan
Uzma Ahmad
Publikationsdatum
27.05.2022
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 2/2023
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-022-00330-5

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