Abstract
Fuzzy implications based on strong negations
Highlights
Fuzzy implications offer a new possibility to describe in a more adequate way the truth value of proposition: “if P Q”, where P and Q are propositions
The purpose of this paper is to propose an algorithm for the production of fuzzy implications based on strong negations
In this paper we introduced fuzzy implications stemming from a class of strong negations, which are generated via conical sections
Summary
Fuzzy implications offer a new possibility to describe in a more adequate way the truth value of proposition: “if P Q”, where P and Q are (fuzzy) propositions. Various classes of fuzzy implications have been studied in the last years. Several techniques have been used to develop new classes of fuzzy implications and used in various applications [1,4,5,8,13]. The purpose of this paper is to propose an algorithm for the production of fuzzy implications based on strong negations. In [12], an algorithm for producing negations via conical sections was found. Fuzzy implications that stemming from a class of strong negations represent a generalization of some known fuzzy implications.
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