A classification of representable t-norm operators for picture fuzzy sets

Authors

Bui Cong Cuong, Vietnam Academy of Science and TechnologyFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Roan Thi Ngan, Hanoi University of Natural Resources and EnvironmentFollow

Publication Date

8-2016

Comments

Technical Report: UTEP-CS-16-60

Abstract

T-norms and t-conorms are basic operators of fuzzy logics. The classifications of these operators are significant problems. Some results of the classifications of fuzzy logics operators for fuzzy sets are known. In 2013, we defined the picture fuzzy sets, and in 2015 some representable t-norms operators and t-conorms operators were defined. In this paper, we investigate the classification of representable picture t-norms and picture t-conorms operators for picture fuzzy sets.