2018
DOI: 10.15625/1813-9663/34/3/13223
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New Dissimilarity Measures on Picture Fuzzy Sets and Applications

Abstract: The dissimilarity measures between fuzzy sets/intuitionistic fuzzy sets/picture fuzzy sets are studied and applied in various matters. In this paper, we propose some new dissimilarity measures on picture fuzzy sets. This new dissimilarity measures overcome the restrictions of all existing dissimilarity measures on picture fuzzy sets. After that, we apply these new measures to the pattern recognition problems. Finally, we introduce a multi-criteria decision making (MCDM) method that used the new dissimilarity m… Show more

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Cited by 20 publications
(3 citation statements)
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“…Le et al. ( 2018 ) discussed dissimilarity measures on picture fuzzy sets and their applications. Lin et al.…”
Section: Introductionmentioning
confidence: 99%
“…Le et al. ( 2018 ) discussed dissimilarity measures on picture fuzzy sets and their applications. Lin et al.…”
Section: Introductionmentioning
confidence: 99%
“…Son [28] and Thong [29] introduced several clustering algorithms with PFSs. Le et al [21] proposed some dissimilarity measures under PF information and applied them to decision-making problems. Wei et al [36] introduced the projection models for the MADM problem with PF information.…”
Section: Introductionmentioning
confidence: 99%
“…There are many different optimization techniques that have been used to select the most suitable material source for design or farming. For instance, Analytical Hierarchy Process (AHP) [6], TOPSIS [7,14], Gray relational analysis (GRA) [8], VIKOR method [9], MOORA method [2,4,10] and MCDM method [11,13,[19][20][21]24], etc. Because in evaluating the selection of ingredients or mixing formulations used for mushroom cultivation, the above analysis has the infection rates of fungi brought by the ingredients.…”
Section: Introductionmentioning
confidence: 99%