Similarity Measure: An Intuitionistic Fuzzy Rough Set Approach

Transactions on Fuzzy Sets and Systems

مقاله 13، دوره 2، شماره 2، بهمن 2023، صفحه 219-228   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2023.1980759.1066

نویسنده

Jaydip Bhattacharya^*

Department of Mathematics, Bir Bikram Memorial College, Agartala, Tripura, India.

چکیده

‎In fuzzy set theory‎, ‎the concept of a non-membership function and the hesitation margin were not considered while these two concepts have been included along with the membership function for intuitionistic fuzzy sets‎. ‎It is also to be noted that the intuitionistic fuzzy set is reflected as an extension of the fuzzy set accommodating both membership and non-membership functions together with a hesitation margin‎. ‎In the intuitionistic fuzzy set theory‎, ‎the sum of the membership function and the non-membership function is a value between 0 and 1‎. ‎In recent times‎, ‎intuitionistic fuzzy rough set theory has emerged as a powerful tool for dealing with imprecision and uncertain information in relational database theory‎. ‎Measures of similarity between fuzzy rough sets as well as intuitionistic fuzzy rough sets provide wide applications in real-life problems and that is why many researchers paid more attention to this concept‎. ‎Intuitionistic fuzzy rough set theory behaves like an excellent tool to tackle impreciseness or uncertainties‎. ‎In this paper‎, ‎we propose a new approach of similarity measure on an intuitionistic fuzzy rough set based on a set-theoretic approach‎. ‎The proposed measure is able to give an exact result‎. ‎In the application part‎, ‎we consider a real-life problem for selecting a fair play award-winning team in a cricket tournament and describe the algorithm‎.

کلیدواژه‌ها

Similarity measure‎؛ ‎Intuitionistic fuzzy set‎؛ ‎Rough set‎

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