An Axiomatic Characterization of Fuzzy Formal Contexts Based on T-implication Operators

Abstract

In this paper, the fuzzy concept based on T-implication operators is studied by the axiomatic approach. An operators-oriented characterization of the fuzzy concept is proposed, that is, the fuzzy intent-extent operator and the fuzzy extent-intent operator based on T-implication operators are defined by axioms. The axiom sets of the fuzzy concept operators guarantee the existence of fuzzy relations which produce the same operators.