Article ID Journal Published Year Pages File Type
392537 Information Sciences 2016 17 Pages PDF
Abstract

A new approach to t-norm and t-conorm based α-cuts of intuitionistic fuzzy sets is studied. Strong and weak cuts for intuitionistic fuzzy sets are defined, and their various properties are investigated. We show that strong cuts contained in the average cuts and average cuts contained in the weak cuts and it is also observed that for some special cases, average cuts are same. We investigate the strong, weak, and average cut sets of intuitionistic fuzzy sets under the fuzzy sets operations: finite (infinite) intersection and union with respect to fuzzy connectives. Some relevant counter examples are indicated.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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