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Application of weighted average cardinality measure of intuitionistic fuzzy sets in ranking of intuitionistic fuzzy sets

Application of weighted average cardinality \\measure of intuitionistic fuzzy sets in ranking\\ of intuitionistic fuzzy sets

Atiq Ur Rehman|Madiha Qayyum|Etienne E Kerre|Samina Ashraf
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제1호|pp. 13-31|DOI 10.30948/afmi.2018.16.1.13

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참고문헌

키워드

Intuitionistic fuzzy set ($IFS$)Weighted average cardinality of $IFS$Relative sigma count of $IFSs$Ranking of $IFSs$Intuitionistic fuzzy quantifiers.

초록

In this paper, we have explored different aspects of weighted average cardinality of finite intuitionistic fuzzy sets with aid of necessity and possibility operators. Also we have defined the concept of scalar valued relative sigma count of intuitionistic fuzzy sets, which in turn is utilized to define a ranking technique for intuitionistic fuzzy sets and the concept of intuitionistic fuzzy quantifiers.

Abstract

In this paper, we have explored different aspects of weighted average cardinality of finite intuitionistic fuzzy sets with aid of necessity and possibility operators. Also we have defined the concept of scalar valued relative sigma count of intuitionistic fuzzy sets, which in turn is utilized to define a ranking technique for intuitionistic fuzzy sets and the concept of intuitionistic fuzzy quantifiers.

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