Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Soft Computing
Published in: Soft Computing 7/2021

05-01-2021 | Methodologies and Application

Multi-criteria decision making process based on some single-valued neutrosophic Dombi power aggregation operators

Authors: Chiranjibe Jana, Madhumangal Pal

Published in: Soft Computing | Issue 7/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The single-valued neutrosophic sets (SVNs) have a lot of applications in the field of engineering and scientific problems. In this paper, the Dombi operations and power averaging operator is used to constructing some single-valued neutrosophic Dombi power operators, i.e., single-valued neutrosophic Dombi power weighted averaging (SVNDPWA) operator, single-valued neutrosophic Dombi power order weighted averaging operator and single-valued neutrosophic Dombi power hybrid weighted averaging operator, and single-valued neutrosophic Dombi power weighted geometric averaging (SVNDPWGA) operator, single-valued neutrosophic Dombi power order weighted geometric averaging operator, and single-valued neutrosophic Dombi power hybrid weighted geometric averaging operator have been proposed. Some useful properties of these operators are investigated. Furthermore, SVNDPWA and SVNDPWGA operators in SVN environment are utilized to develop a multiple-criteria decision making (MCDM) method. Finally, an application of the proposed MCDM method is given for road construction companies selection. Also, for selection of road construction companies by single-valued neutrosophic Dombi power aggregation operators is verified by MABAC method. The proposed method is compared with some pre-existing techniques to check the efficiency of the proposed approach.
previous article Generalized interval-valued picture fuzzy linguistic induced hybrid operator and TOPSIS method for linguistic group decision-making
next article A new evolving mechanism of genetic algorithm for multi-constraint intelligent camera path planning

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
Abdel-Basset M, Mohamed M, Zhou Y, Hezam I (2017) Multi-criteriagroup decision making based on neutrosophic analytic hierarchy process. J Int Fuzzy Syst 33(6):4055–4066
Abdel-Basset M, Mohamed M, Smarandache F (2018) An extension of neutrosophic AHP-SWOT analysis for strategic planning and decision-making. Symmetry 10(4):116
Atanassov KT (1999) On intuitionistic fuzzy sets theory. Studies in fuzziness and soft computing, vol 283. Springer, Berlin
Bausys R, Zavadskas EK (2015) Multicriteria decision making approach by VIKOR under interval neutrosophic set environment. Econ Comput Econ Cybern Stud Res 4:33–48
Beliakov G, Pradera A, Calvo T (2007) Aggregation functions: a guide for practitioners. Springer, HeidelbergMATH
Biswas P, Pramanik S, Giri BC (2014) A new methodology for neutrosophic multi-attribute decisionmaking with unknown weight information. Neutrosophic Sets Syst 3:42–50
Biswas P, Pramanik S, Giri BC (2016) TOPSIS method for multi-attribute groupdecision-making under single valued neutrosophic environment. Neural Comput Appl 27(3):727–737
Broumi S, Smarandache F (2014) Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making. Bull Pure Appl Sci 33(2):135–155
Broumi S, Bakali A, Talea M, Smarandache F, Krishnan Kishore KP, Sahin R (2018) Shortest path problem under interval valued neutrosophic setting. J Fundam Appl Sci 10(4S):168–174
Chen J, Ye J (2017) Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry 9(82):1–11
Chen ZS, Chin KS, Li YL, Yang Y (2016) On generalized extended Bonferroni means for decision making. IEEE Trans Fuzzy Syst 24(6):1525–1543
Chen L, Peng J, Liu Z, Zhao R (2017) Pricing and effort decisions for a supply chain with uncertain information. Int J Prod Res 55(1):264–284
Chen ZS, Chin KS, Tsui KL (2019a) Constructing the geometric Bonferroni mean from the generalized Bonferroni mean with several extensions to linguistic 2-tuples for decision-making. Appl Soft Comput 78:595–613
Chen ZS, Yu C, Chin KS, Martínez L (2019b) An enhanced ordered weighted averaging operators generation algorithm with applications for multicriteria decision making. Appl Math Model 71:467–490MathSciNetMATH
Chen ZS, Yang Y, Wang XJ, Chin KS, Tsui KL (2019c) Fostering linguistic decision-making under uncertainty: a proportional interval type-2 hesitant fuzzy TOPSIS approach based on Hamacher aggregation operators and andness optimization models. Inf Sci 500:229–258
Deli I, Subas Y (2014) Single valued neutrosophic numbers and their applications to multicriteria decision making problem. viXra preprint viXra 14120012
Deschrijver G, Cornelis C, Kerre EE (2004) On the representation of intuitionistic fuzzy \(t\)-norms and \(t\)-conorms. IEEE Trans Fuzzy Syst 12:45–61MATH
Dombi J (1982) A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8:149–163MathSciNetMATH
Gao H, Wei GW, Huang YH (2018) Dual hesitant bipolar fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making. IEEE Access 6(1):11508–11522
He X (2018) Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators. Nat Hazards 90(3):1153–1175
He YD, Chen HY, Zhou LG (2013) Generalized interval-valued Atanassov intuitionistic fuzzy power operators and their application to group decision making. Int J Fuzzy Syst 15(4):401–411MathSciNet
Jana C, Pal M, Wang JQ (2019a) Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision making process. J Ambient Intell Hum Comput 10(9):3533–3549
Jana C, Senapati T, Pal M, Yager RR (2019b) Picture fuzzy Dombi aggregation operators: application to MADM process. Appl Soft Comput 74(1):99–109
Jana C, Senapati T, Pal M (2019c) Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision-making. Int J Intell Syst 34(9):2019–2038
Jana C, Pal M, Karaaslan F, Wang JQ (2020a) Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision-making process. Sci Iran E 27(3):1655–1673
Jana C, Pal M, Wang JQ (2020b) Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. Soft Comput 24:3631–3646MATH
Ji P, Wang JQ, Zhang HY (2018) Frank prioritized Bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers. Neural Comput Appl 30(3):799–823
Liu PD (2016) The aggregation operators based on Archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their application to decision making. Int J Fuzzy Syst 18:849–863
Liu PD (2017) Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators. Comput Ind Eng 108:199–212
Liu PD, Liu X (2017) Multiattribute group decision making methods based on linguistic intuitionistic fuzzy power Bonferroni mean operators. Complexity 3571459(1–3571459):15MathSciNetMATH
Liu PD, Wang Y (2014a) Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput Appl 25:2001–2010
Liu PD, Wang YM (2014b) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17(1):90–104
Liu PD, Yu XC (2014) 2-dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making. Knowl-Based Syst 57(1):69–80
Liu PD, Liu Z, Zhang X (2014) Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision making. Appl Math Comput 230:570–586MathSciNetMATH
Liu PD, Zhang L, Liu X, Wang P (2016) Multi-valued neutrosophic number Bonferroni mean operators with their applications in multiple attribute group decision making. Int J Inf Technol Decis Mak 15:1–28
Nancy Garg H (2016) Novel single-valued neutrosophic aggregated operators under frank norm operation and its application to decision-making process. Int J Uncertain Quant 6(4):361–375
Peng J, Wang JQ, Chen H (2016) Simplified neutrosophic sets and their applications in multi-citeria group decision making problems. Int J Syst Sci 47(10):2342–2358MATH
Sahin R (2014) Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. arXiv:​1412.​5202
Sahin R, Liu P (2017) Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making. Neural Comput Appl 28(6):1387–1395
Smarandache F (1999) A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press, RehobothMATH
Smarandache F (2005) Neutrosophic set—a generalization of the intuitionistic fuzzy set. Int J Pure Appl Math 24(3):287–297MathSciNetMATH
Tan R, Zhang W, Chen S (2017) Some generalized single-valued neutrosophic linguistic operators and their application to multiple attribute group decision making. J Syst Sci Inf 5(2):148–162
Wang WZ, Liu XW (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049–1075
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413MATH
Wei GW, Lu M (2018) Pythagorean fuzzy power aggregation operators in multiple attribute decision making. Int J Intell Syst 33(1):169–186
Wei GW, Wei Y (2018) Some single-valued neutrosophic Dombi prioritized weighted aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):2001–2013
Wei GW, Zhang Z (2019) Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Hum Comput 10:863–882
Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2018) Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision making. Int J Fuzzy Syst 20(1):1–12MathSciNetMATH
Wu Q, Wu P, Zhou L, Chen H, Guan X (2018) Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making. Comput Ind Eng 116:144–162
Xia MM, Xu ZS, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl Based Syst 31(1):78–88
Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187
Xu ZS (2011) Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowl Based Syst 24:749–760
Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969MATH
Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetMATH
Xu Y, Merigo JM, Wang H (2012) Linguistic power aggregation operators and their application to multiple attribute group decision making. Appl Math Model 36:5427–5444MathSciNetMATH
Yager RR (1998) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190MATH
Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern Part A 31:724–731
Yager RR, Kacprzyk J (1997) The ordered weighted averaging operators: theory and applications. Kluwer, BostonMATH
Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394MathSciNetMATH
Ye J (2014a) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26:2459–2466MathSciNetMATH
Ye J (2014b) Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making. J Intell Fuzzy Syst 27:2231–2241MathSciNetMATH
Ye J (2014c) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26:165–172MATH
Ye J (2016) Aggregation operators of neutrosophic linguistic numbers for multiple attribute group decision making. SpringerPlus 5:1–11
Yu DJ (2012) Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator. Int J Intell Syst 27:635–661
Yu DJ (2013) Intuitionistic fuzzy Choquet aggregation operator based on Einstein operation laws. Sci Iran (Trans Ind Eng) 20(6):2109–2122
Zhang Z (2017) Interval-valued intuitionistic fuzzy Frank aggregation operators and their applications to multiple attribute group decision making. Neural Comput Appl 28(6):1471–1501
Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci World J. Article ID 645953, 15 pages
Zhang HY, Ji P, Wang JQ, Chen XH (2016) A neutrosophic normal cloud and its application in decision-making. Cogn Comput 8(4):649–669
Zhao XF, Wei GW (2013) Some intuitionistic fuzzy einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowl Based Syst 37:472–479
Zhao H, Xu ZS, Ni FM, Liu SS (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25(1):1–30MATH
Zhou L, Chen H, Liu J (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62(4):989–999
Metadata
Title
Multi-criteria decision making process based on some single-valued neutrosophic Dombi power aggregation operators
Authors
Chiranjibe Jana
Madhumangal Pal
Publication date
05-01-2021
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 7/2021
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05509-z

Other articles of this Issue 7/2021

Soft Computing 7/2021 Go to the issue

Methodologies and Application

Codimension two bifurcations of discrete Bonhoeffer–van der Pol oscillator model

Methodologies and Application

Confidence-aware collaborative detection mechanism for false data attacks in smart grids

Methodologies and Application

An improved differential evolution algorithm and its application in optimization problem

Methodologies and Application

Generalized fuzzy automata with semantic computing

Methodologies and Application

A game theory-based approach to fuzzy clustering for pixel classification in remote sensing imagery

Methodologies and Application

An efficient solution of nonlinear enhanced interval optimization problems and its application to portfolio optimization

Premium Partner

    Image Credits