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- W2892785338 abstract "The intuitionistic fuzzy set introduced by Atanassov has greater ability in depicting and handling uncertainty. Intuitionistic fuzzy measure is an important research area of intuitionistic fuzzy set theory. Distance measure and similarity measure are two complementary concepts quantifying the difference and closeness of intuitionistic fuzzy sets. This paper addresses the definition of an effective distance measure with concise form and specific meaning for Atanassov’s intuitionistic fuzzy sets (AIFSs). A new distance measure for AIFSs is defined based on a distance measure of interval values and the transformation from AIFSs to interval valued fuzzy sets. The axiomatic properties of the new distance measure are mathematically investigated. Comparative analysis based in numerical examples indicates that the new distance measure is competent to quantify the difference between AIFSs. The application of the new distance measure is also discussed. A new method for multi-attribute decision making (MADM) is developed based on the technique for order preference by similarity to an ideal solution method and the new distance measure. Numerical applications indicate that the developed MADM method can obtain reasonable preference orders. This shows that the new distance measure is effective and rational from both mathematical and practical points of view." @default.
- W2892785338 created "2018-10-05" @default.
- W2892785338 creator A5030622848 @default.
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- W2892785338 date "2018-09-22" @default.
- W2892785338 modified "2023-09-28" @default.
- W2892785338 title "New Distance Measure for Atanassov’s Intuitionistic Fuzzy Sets and Its Application in Decision Making" @default.
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- W2892785338 doi "https://doi.org/10.3390/sym10100429" @default.
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