Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
392537 | Information Sciences | 2016 | 17 Pages |
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
Authors
Saifur Rahman,