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Erschienen in: Granular Computing 3/2023

06.08.2022 | Original Paper

Multi-attribute decision-making based on the advanced possibility degree measure of intuitionistic fuzzy numbers

verfasst von: Chirag Dhankhar, Kamal Kumar

Erschienen in: Granular Computing | Ausgabe 3/2023

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Abstract

In this paper, we propose a novel multi-attribute decision-making (MADM) approach for the intuitionistic fuzzy numbers (IFNs) environment. For this, we propose the advanced possibility degree measure (APDM) to rank the intuitionistic fuzzy numbers (IFNs). We also explore the properties of the proposed APDM of IFNs. The proposed APDM of IFNs can overcome the drawbacks of the existing possibility degree measure (PDM) of IFNs. Moreover, we propose a novel multi-attribute decision-making approach based on the proposed APDM of IFNs environment. We also explore the drawbacks of the existing MADM approach in the environment of IFNs, which has the drawback that it cannot distinguish the ranking order (RO) of the alternatives in some circumstances. The proposed MADM approach can overcome the drawbacks of the existing MADM approach. The proposed MADM approach offers us a very useful way to deal with MADM problems in the context of IFNs.

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Literatur
Zurück zum Zitat Abdullah S, Qiyas M, Khan MA et al (2022) Multi-criteria decision making based on intuitionistic cubic fuzzy numbers. Granular Comput 7(1):217–227CrossRef Abdullah S, Qiyas M, Khan MA et al (2022) Multi-criteria decision making based on intuitionistic cubic fuzzy numbers. Granular Comput 7(1):217–227CrossRef
Zurück zum Zitat Akram M, Khan A (2021) Complex Pythagorean Dombi fuzzy graphs for decision making. Granular Comput 6(3):645–669MathSciNetCrossRef Akram M, Khan A (2021) Complex Pythagorean Dombi fuzzy graphs for decision making. Granular Comput 6(3):645–669MathSciNetCrossRef
Zurück zum Zitat Akram M, Shahzadi G (2021) A hybrid decision-making model under q-rung orthopair fuzzy Yager aggregation operators. Granular Comput 6(4):763–777CrossRef Akram M, Shahzadi G (2021) A hybrid decision-making model under q-rung orthopair fuzzy Yager aggregation operators. Granular Comput 6(4):763–777CrossRef
Zurück zum Zitat Arya V, Kumar S (2021) Knowledge measure and entropy: a complementary concept in fuzzy theory. Granular Comput 6(3):631–643CrossRef Arya V, Kumar S (2021) Knowledge measure and entropy: a complementary concept in fuzzy theory. Granular Comput 6(3):631–643CrossRef
Zurück zum Zitat Ashraf S, Abdullah S, Muneeza, (2021) Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem. Granular Comput 6(3):603–618 Ashraf S, Abdullah S, Muneeza, (2021) Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem. Granular Comput 6(3):603–618
Zurück zum Zitat Biswas A, Deb N (2021) Pythagorean fuzzy Schweizer and Sklar power aggregation operators for solving multi-attribute decision-making problems. Granular Comput 6(4):991–1007CrossRef Biswas A, Deb N (2021) Pythagorean fuzzy Schweizer and Sklar power aggregation operators for solving multi-attribute decision-making problems. Granular Comput 6(4):991–1007CrossRef
Zurück zum Zitat Chen SM, Chang CH (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352:133–149MATHCrossRef Chen SM, Chang CH (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352:133–149MATHCrossRef
Zurück zum Zitat Chen SM, Cheng SH, Lan TC (2016) Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci 367:279–295CrossRef Chen SM, Cheng SH, Lan TC (2016) Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci 367:279–295CrossRef
Zurück zum Zitat Dutta P, Doley D (2021) Fuzzy decision making for medical diagnosis using arithmetic of generalised parabolic fuzzy numbers. Granular Comput 6(2):377–388CrossRef Dutta P, Doley D (2021) Fuzzy decision making for medical diagnosis using arithmetic of generalised parabolic fuzzy numbers. Granular Comput 6(2):377–388CrossRef
Zurück zum Zitat Dutta P, Saikia B (2021) Arithmetic operations on normal semi elliptic intuitionistic fuzzy numbers and their application in decision-making. Granular Comput 6(1):163–179CrossRef Dutta P, Saikia B (2021) Arithmetic operations on normal semi elliptic intuitionistic fuzzy numbers and their application in decision-making. Granular Comput 6(1):163–179CrossRef
Zurück zum Zitat Ejegwa PA, Adah V, Onyeke IC (2022) Some modified Pythagorean fuzzy correlation measures with application in determining some selected decision-making problems. Granular Comput 7(2):381–391CrossRef Ejegwa PA, Adah V, Onyeke IC (2022) Some modified Pythagorean fuzzy correlation measures with application in determining some selected decision-making problems. Granular Comput 7(2):381–391CrossRef
Zurück zum Zitat Feng F, Xu Z, Fujita H, Liang M (2020) Enhancing PROMETHEE method with intuitionistic fuzzy soft sets. Int J Intell Syst 35(7):1071–1104CrossRef Feng F, Xu Z, Fujita H, Liang M (2020) Enhancing PROMETHEE method with intuitionistic fuzzy soft sets. Int J Intell Syst 35(7):1071–1104CrossRef
Zurück zum Zitat Feng F, Zheng Y, Sun B, Akram M (2022) Novel score functions of generalized orthopair fuzzy membership grades with application to multiple attribute decision making. Granular Comput 7(1):95–111CrossRef Feng F, Zheng Y, Sun B, Akram M (2022) Novel score functions of generalized orthopair fuzzy membership grades with application to multiple attribute decision making. Granular Comput 7(1):95–111CrossRef
Zurück zum Zitat Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef
Zurück zum Zitat Garg H, Kaur G (2020) Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis. Granular Comput 5(2):169–184CrossRef Garg H, Kaur G (2020) Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis. Granular Comput 5(2):169–184CrossRef
Zurück zum Zitat Garg H, Kumar K (2018) An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making. Soft Comput 22(15):4959–4970MATHCrossRef Garg H, Kumar K (2018) An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making. Soft Comput 22(15):4959–4970MATHCrossRef
Zurück zum Zitat Garg H, Kumar K (2019) Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making. Granular Comput 4(2):237–247CrossRef Garg H, Kumar K (2019) Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making. Granular Comput 4(2):237–247CrossRef
Zurück zum Zitat Garg H, Kumar K (2020) Power geometric aggregation operators based on connection number of set pair analysis under intuitionistic fuzzy environment. Arabian J Sci Eng 45(3):2049–2063MathSciNetCrossRef Garg H, Kumar K (2020) Power geometric aggregation operators based on connection number of set pair analysis under intuitionistic fuzzy environment. Arabian J Sci Eng 45(3):2049–2063MathSciNetCrossRef
Zurück zum Zitat Gupta R, Kumar S (2022) Intuitionistic fuzzy scale-invariant entropy with correlation coefficients-based VIKOR approach for multi-criteria decision-making. Granular Comput 7(1):77–93CrossRef Gupta R, Kumar S (2022) Intuitionistic fuzzy scale-invariant entropy with correlation coefficients-based VIKOR approach for multi-criteria decision-making. Granular Comput 7(1):77–93CrossRef
Zurück zum Zitat Hussain A, Ullah K, Yang MS, Pamucar D (2022) Aczel-alsina aggregation operators on T-spherical fuzzy (TSF) information with application to TSF multi-attribute decision making. IEEE Access 10:26011–26023CrossRef Hussain A, Ullah K, Yang MS, Pamucar D (2022) Aczel-alsina aggregation operators on T-spherical fuzzy (TSF) information with application to TSF multi-attribute decision making. IEEE Access 10:26011–26023CrossRef
Zurück zum Zitat Joshi BP (2018) Moderator intuitionistic fuzzy sets with applications in multi-criteria decision-making. Granular Comput 3(1):61–73CrossRef Joshi BP (2018) Moderator intuitionistic fuzzy sets with applications in multi-criteria decision-making. Granular Comput 3(1):61–73CrossRef
Zurück zum Zitat Joshi R, Kumar S (2022) A novel VIKOR approach based on weighted correlation coefficients and picture fuzzy information for multicriteria decision making. Granular Comput 7(2):323–336CrossRef Joshi R, Kumar S (2022) A novel VIKOR approach based on weighted correlation coefficients and picture fuzzy information for multicriteria decision making. Granular Comput 7(2):323–336CrossRef
Zurück zum Zitat Kadian R, Kumar S (2021) A novel intuitionistic Renyi’s-Tsallis discriminant information measure and its applications in decision-making. Granular Comput 6(4):901–913CrossRef Kadian R, Kumar S (2021) A novel intuitionistic Renyi’s-Tsallis discriminant information measure and its applications in decision-making. Granular Comput 6(4):901–913CrossRef
Zurück zum Zitat Khan MSA, Abdullah S, Ali A, Amin F (2019) An extension of VIKOR method for multi-attribute decision-making under Pythagorean hesitant fuzzy setting. Granular Comput 4(3):421–434CrossRef Khan MSA, Abdullah S, Ali A, Amin F (2019) An extension of VIKOR method for multi-attribute decision-making under Pythagorean hesitant fuzzy setting. Granular Comput 4(3):421–434CrossRef
Zurück zum Zitat Kumar K, Chen SM (2021) Multiattribute decision making based on the improved intuitionistic fuzzy Einstein weighted averaging operator of intuitionistic fuzzy values. Inf Sci 568:369–383MathSciNetCrossRef Kumar K, Chen SM (2021) Multiattribute decision making based on the improved intuitionistic fuzzy Einstein weighted averaging operator of intuitionistic fuzzy values. Inf Sci 568:369–383MathSciNetCrossRef
Zurück zum Zitat Kumar K, Garg H (2018) Connection number of set pair analysis based Topsis method on intuitionistic fuzzy sets and their application to decision making. Appl Intell 48(8):2112–2119CrossRef Kumar K, Garg H (2018) Connection number of set pair analysis based Topsis method on intuitionistic fuzzy sets and their application to decision making. Appl Intell 48(8):2112–2119CrossRef
Zurück zum Zitat Liu X, Wang L (2020) An extension approach of Topsis method with Owad operator for multiple criteria decision-making. Granular Comput 5(1):135–148MathSciNetCrossRef Liu X, Wang L (2020) An extension approach of Topsis method with Owad operator for multiple criteria decision-making. Granular Comput 5(1):135–148MathSciNetCrossRef
Zurück zum Zitat Ma ZM, Xu ZS (2020) Computation of generalized linguistic term sets based on fuzzy logical algebras for multi-attribute decision making. Granular Comput 5(1):17–28CrossRef Ma ZM, Xu ZS (2020) Computation of generalized linguistic term sets based on fuzzy logical algebras for multi-attribute decision making. Granular Comput 5(1):17–28CrossRef
Zurück zum Zitat Mishra AR, Rani P, Pardasani KR (2019) Multiple-criteria decision-making for service quality selection based on Shapley Copras method under hesitant fuzzy sets. Granular Comput 4(3):435–449CrossRef Mishra AR, Rani P, Pardasani KR (2019) Multiple-criteria decision-making for service quality selection based on Shapley Copras method under hesitant fuzzy sets. Granular Comput 4(3):435–449CrossRef
Zurück zum Zitat Mishra AR, Singh RK, Motwani D (2019) Multi-criteria assessment of cellular mobile telephone service providers using intuitionistic fuzzy WASPAS method with similarity measures. Granular Comput 4(3):511–529CrossRef Mishra AR, Singh RK, Motwani D (2019) Multi-criteria assessment of cellular mobile telephone service providers using intuitionistic fuzzy WASPAS method with similarity measures. Granular Comput 4(3):511–529CrossRef
Zurück zum Zitat Mishra AR, Chen SM, Rani P (2022) Multiattribute decision making based on Fermatean hesitant fuzzy sets and modified VIKOR method. Inf Sci 607:1532–1549CrossRef Mishra AR, Chen SM, Rani P (2022) Multiattribute decision making based on Fermatean hesitant fuzzy sets and modified VIKOR method. Inf Sci 607:1532–1549CrossRef
Zurück zum Zitat Rahman K, Ali A, Abdullah S (2020) Multiattribute group decision making based on interval-valued Pythagorean fuzzy Einstein geometric aggregation operators. Granular Comput 5(3):361–372CrossRef Rahman K, Ali A, Abdullah S (2020) Multiattribute group decision making based on interval-valued Pythagorean fuzzy Einstein geometric aggregation operators. Granular Comput 5(3):361–372CrossRef
Zurück zum Zitat Rahman K, Ayub S, Abdullah S (2021) Generalized intuitionistic fuzzy aggregation operators based on confidence levels for group decision making. Granular Comput 6(4):867–886CrossRef Rahman K, Ayub S, Abdullah S (2021) Generalized intuitionistic fuzzy aggregation operators based on confidence levels for group decision making. Granular Comput 6(4):867–886CrossRef
Zurück zum Zitat Rani P, Jain D, Hooda D (2019) Extension of intuitionistic fuzzy TODIM technique for multi-criteria decision making method based on Shapley weighted divergence measure. Granular Comput 4(3):407–420CrossRef Rani P, Jain D, Hooda D (2019) Extension of intuitionistic fuzzy TODIM technique for multi-criteria decision making method based on Shapley weighted divergence measure. Granular Comput 4(3):407–420CrossRef
Zurück zum Zitat Seikh MR, Mandal U (2021) Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making. Granular Comput 6(3):473–488CrossRef Seikh MR, Mandal U (2021) Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making. Granular Comput 6(3):473–488CrossRef
Zurück zum Zitat Senapati T, Chen G, Yager RR (2022) Aczel-alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making. Int J Intell Syst 37(2):1529–1551CrossRef Senapati T, Chen G, Yager RR (2022) Aczel-alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making. Int J Intell Syst 37(2):1529–1551CrossRef
Zurück zum Zitat Suresh M, Arun Prakash K, Vengataasalam S (2021) Multi-criteria decision making based on ranking of neutrosophic trapezoidal fuzzy numbers. Granular Comput 6(4):943–952CrossRef Suresh M, Arun Prakash K, Vengataasalam S (2021) Multi-criteria decision making based on ranking of neutrosophic trapezoidal fuzzy numbers. Granular Comput 6(4):943–952CrossRef
Zurück zum Zitat Verma R (2022) Generalized similarity measures under linguistic q-rung orthopair fuzzy environment with application to multiple attribute decision-making. Granular Comput 7(2):253–275CrossRef Verma R (2022) Generalized similarity measures under linguistic q-rung orthopair fuzzy environment with application to multiple attribute decision-making. Granular Comput 7(2):253–275CrossRef
Zurück zum Zitat Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938CrossRef Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938CrossRef
Zurück zum Zitat Wang H, Liu Y, Liu F, Lin J (2021) Multiple attribute decision-making method based upon intuitionistic fuzzy partitioned dual Maclaurin symmetric mean operators. Int J Comput Intell Syst 14(1):1–20CrossRef Wang H, Liu Y, Liu F, Lin J (2021) Multiple attribute decision-making method based upon intuitionistic fuzzy partitioned dual Maclaurin symmetric mean operators. Int J Comput Intell Syst 14(1):1–20CrossRef
Zurück zum Zitat Wei CP, Tang X (2010) Possibility degree method for ranking intuitionistic fuzzy numbers. In: 2010 IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology (WI-IAT), vol 3, pp 142–145. IEEE, New York Wei CP, Tang X (2010) Possibility degree method for ranking intuitionistic fuzzy numbers. In: 2010 IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology (WI-IAT), vol 3, pp 142–145. IEEE, New York
Zurück zum Zitat Yang Z, Garg H, Li J, Srivastava G, Cao Z (2021) Investigation of multiple heterogeneous relationships using a q-rung orthopair fuzzy multi-criteria decision algorithm. Neural Comput Appl 33(17):10771–10786CrossRef Yang Z, Garg H, Li J, Srivastava G, Cao Z (2021) Investigation of multiple heterogeneous relationships using a q-rung orthopair fuzzy multi-criteria decision algorithm. Neural Comput Appl 33(17):10771–10786CrossRef
Zurück zum Zitat Ye J, Türkarslan E, Ünver M, Olgun M (2022) Algebraic and Einstein weighted operators of neutrosophic enthalpy values for multi-criteria decision making in neutrosophic multi-valued set settings. Granular Comput 7(3):479–487CrossRef Ye J, Türkarslan E, Ünver M, Olgun M (2022) Algebraic and Einstein weighted operators of neutrosophic enthalpy values for multi-criteria decision making in neutrosophic multi-valued set settings. Granular Comput 7(3):479–487CrossRef
Zurück zum Zitat Zeng S, Chen SM, Kuo LW (2019) Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method. Inf Sci 488:76–92CrossRef Zeng S, Chen SM, Kuo LW (2019) Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method. Inf Sci 488:76–92CrossRef
Zurück zum Zitat Zhan J, Sun B (2020) Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making. Artif Intell Rev 53(1):671–701CrossRef Zhan J, Sun B (2020) Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making. Artif Intell Rev 53(1):671–701CrossRef
Zurück zum Zitat Zhang Z (2020) Maclaurin symmetric means of dual hesitant fuzzy information and their use in multi-criteria decision making. Granular Comput 5(2):251–275CrossRef Zhang Z (2020) Maclaurin symmetric means of dual hesitant fuzzy information and their use in multi-criteria decision making. Granular Comput 5(2):251–275CrossRef
Zurück zum Zitat Zou XY, Chen SM, Fan KY (2020) Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values. Inf Sci 535:242–253MathSciNetMATHCrossRef Zou XY, Chen SM, Fan KY (2020) Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values. Inf Sci 535:242–253MathSciNetMATHCrossRef
Metadaten
Titel
Multi-attribute decision-making based on the advanced possibility degree measure of intuitionistic fuzzy numbers
verfasst von
Chirag Dhankhar
Kamal Kumar
Publikationsdatum
06.08.2022
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 3/2023
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-022-00343-0

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