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Soft Computing

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28.09.2023 | Soft computing in decision making and in modeling in economics

Divergence-based distance for picture fuzzy sets and its application to multi-attribute decision-making

verfasst von: Minxia Luo, Guofeng Zhang

Erschienen in: Soft Computing | Ausgabe 1/2024

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Abstract

As a direct extension of intuitionistic fuzzy sets, picture fuzzy sets have a powerful ability to deal with vague, uncertain and inconsistent information. The distance between picture fuzzy sets is an effective mathematical tool to distinguish the difference between objects. Although various distances have been proposed, there are some distances that do not meet the axiomatic definition of distance or some distances that induce counter-intuitive results. To address the above defects, this paper gives a new distance between picture fuzzy sets by aggregating three-dimensional divergence, due to the capability of divergence to distinguish information. This new distance not only satisfies the axiomatic definition, but also overcomes the counter-intuitive defects. Furthermore, the proposed distance is applied to solve the multi-attribute decision-making problem. Through comparison and analysis of decision results, this distance not only provides reasonable decision results, but also has high degree of confidence.

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Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRef

Adina A, Rabia N, Tabasam R (2019) Correlation coefficient of intuitionistic hesitant fuzzy sets based on informational energy and their applications to clustering analysis. Soft Comput Fusion Found Methodol Appl 23(20):10393–10406

Boran FE, Akay D (2009) A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition. Inf Sci 255:45–57MathSciNetCrossRef

Beliakov G, Pagola M, Wilkin T (2014) Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Inf Sci 280:352–367MathSciNetCrossRef

Coung BC, Kreinovitch V, Ngan RT (2016) A classification of representable t-norm operators for picture fuzzy sets. In: Elghte international conference on knowledge and systems engineering (KSE) 19–24

Coung BC, Kreinovitch V (2013) Picture fuzzy sets a new concept for computational intelligence problems. In: Pro-ceedings of third world congress on information and communication technologies, pp 1–6

Coung BC (2015) Picture fuzzy sets. J Comput Sci Cybern 30(4):19–24

Dinh NV, Thao NX (2018) Some measures of picture fuzzy sets and their application in multi-attribute decision-making. Int J Math Sci Comput 3:23–41

Dutta P (2017) Medical diagnosis via distance measure on picture fuzzy sets. Adv Mech Sci Eng 54:137–152

Gupta R, Kumar S (2022) A new similarity measure between picture fuzzy sets with applications to pattern recognition and clustering problems. Granul Comput 7(3):561–576CrossRef

Garg H (2017) Some picture fuzzy aggregation operators and their application to multi-criteria decision-making. Arab J Sci Eng 42(17):5275–5290MathSciNetCrossRef

Garg H (2022) Novel distance measures for intuitionistic fuzzy sets based on various triangle centers of isosceles triangular fuzzy numbers and their applications. Expert Syst Appl 191:116228CrossRef

Ganie AH, Singh S, Bhatia PK (2020) Some new correlation coefficients of picture fuzzy sets with applications. Neural Comput Appl 32(16):12609–12625CrossRef

Joshi R (2020) A new picture fuzzy information measure based on Tallis-Havrda-Charvat concept with applications in presaging poll outcome. Comput Appl Math 39–71

Joshi D, Kumar S (2018) An approach to multi-criteria decision making problems using dice similarity measure for picture fuzzy sets. Commun Comput Inf Sci 834:135–140

Ju F, Yuan YZ, Yuan Y, Quan W (2020) A divergence-based distance measure for intuitionistic fuzzy sets and its application in the decision-making of innovation management. IEEE Access 8:1105–1117CrossRef

Jana C, Yager R (2019) Picture fuzzy dombi aggregation operators: application to madm process. Appl Soft Comput 74:99–109CrossRef

Klement EP, Mesiar R, Stupanov A (2018) Picture fuzzy sets and 3-fuzzy sets. In: 2018 IEEE international conference on fuzzy systems (FUZZ-IEEE), pp 1–7

Khan MJ, Kumam P, Deebani W, Kumam W, Shah Z (2021) Bi-parametric distance and similarity measures of picture fuzzy sets and their applications in medical diagnosis. Egypt Inf J 22(2):201–212

Kadian R, Kumar S (2022) A new picture fuzzy divergence measure based on Jensen-Tsallis information measure and its application to multi-criteria decision-making. Granul Comput 7(1):113–126CrossRef

Liu JB, Zhou XZ, Huang B (2019) Combining similarity and divergence measures for intuitionistic fuzzy information clustering. J Intell Fuzzy Syst 36(4):3195–3209CrossRef

Lin JH (1991) Divergence measures based on the shannon entropy. IEEE Trans Inf Theory 37(1):145–151MathSciNetCrossRef

Luo MX, Zhang Y (2020) A new similarity measure between picture fuzzy sets and its application. Eng Appl Artif Intell 96:103956CrossRef

Luo MX, Liang JJ (2018) A novel similarity measure for interval-valued intuitionistic fuzzy sets and its applications. Symmetry 10:441CrossRef

Luo MX, Zhang Y, Fu L (2021) A new similarity measure for picture fuzzy sets and its application to multi-attribute decision making. Informatica 3(32):543–564MathSciNetCrossRef

Pan LP, Deng Y (2022) A novel similarity measure in intuitionistic fuzzy sets and its applications. Eng Appl Artif Intell 107:104512CrossRef

Son LH (2016) Generalized picture distance measure and applications to picture fuzzy clustering. Appl Soft Comput 46:284–295CrossRef

Singh A, Kumar S (2020) A novel dice similarity measure for IFSs and its applications in pattern and face recognition. Expert Syst Appl 149:113245CrossRef

Singh S, Sharma S (2020) Lalotra, Generalized correlation coefficients of intuitionistic fuzzy sets with application to MAGDM and clustering analysis. Int J Fuzzy Syst 22(5):1582–1595CrossRef

Singh S, Ganie AH (2021) Applications of picture fuzzy similarity measures in pattern recognition, clustering, and MADM. Expert Syst Appl 168:114264CrossRef

Singh P, Mishra NK, Kumar M, Saxena S, Singh V (2018) Risk analysis of flood disaster based on similarity measures in picture fuzzy environment. Afr Mat 29(7–8):1019–1038MathSciNetCrossRef

Thao NX (2020) Similarity measures of picture fuzzy sets based on entropy and their application in MCDM. Pattern Anal Appl 23(3):1203–1213MathSciNetCrossRef

Thao NX, Ali M, Nhung LT, Gianey HK, Smarandache F (2019) A new multi-criteria decision-making algorithm for medical diagnosis and classification problems using divergence measure of picture fuzzy sets. J Intell Fuzzy Syst 37(6):7785–7796CrossRef

Talukdar P, Dutta P (2020) An advanced distance measure for intuitionistic fuzzy sets and its application in decision making. Recent Adv Intell Inf Syst Appl Math 863:314–326

Verma R, Rohtagi B (2022) Novel similarity measures between picture fuzzy sets and their applications to pattern recognition and medical diagnosis. Granul Comput 7:761–777CrossRef

Wei GW (2017) Some cosine similarity measures for picture fuzzy Sets and their applications to strategic decision making. Informatica 144:547-564CrossRef

Wei GW, Gao H (2018) The generalized dice similarity measures for picture fuzzy sets and their applications. Informatica 160:107–124MathSciNetCrossRef

Wei GW (2018) Some similarity measures for picture fuzzy sets and their applications. Iran J Fuzzy Syst 15(1):77–89MathSciNet

Xiao FY (2021) A distance measure for intuitionistic fuzzy sets and its application to pattern classification problems. IEEE Trans Syst Man Cybern Syst 51(6):3980–3992

Titel: Divergence-based distance for picture fuzzy sets and its application to multi-attribute decision-making
verfasst von: Minxia Luo
Guofeng Zhang
Publikationsdatum: 28.09.2023
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 1/2024
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-023-09205-6

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