Self-Contradiction Degrees in Intuitionistic Fuzzy Logic
نویسندگان
چکیده
This paper is an attempt to model to what extent an intuitionistic fuzzy set is self-contradictory, both in the case of selfcontradiction regarding a strong intuitionistic negation, and without depending on a specific negation. For this purpose, firstly, a geometrical study on self-contradiction regarding a negation is considered; afterwards some functions to measure degrees of self-contradictory depending on a negation are defined. Finally, the degree of selfcontradiction independently of any negation is dealt with other functions, and in both cases some properties are found.
منابع مشابه
Self-Contradiction and Contradiction between Two Atanassov's Intuitionistic Fuzzy Sets
The paper focuses on the study of the contradiction between two Atanassov's intuitionistic fuzzy sets. First, taking into account some characterizations obtained in previous papers, some functions are defined in order to measure the degrees of contradiction. Besides the principal properties of these measures are pointed out. Finally, some results relating self-contradiction and contradiction be...
متن کاملAN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC
In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove som...
متن کاملSome geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets
Trillas et al. (1999, Soft computing, 3 (4), 197-199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28-32) introduced the study of contradiction in the framework of fuzzy logic because of the significance of avoiding contradictory outputs in inference processes. Later, the study of contradiction in the framework of Atanassov' s intuitionisti...
متن کاملIntuitionistic fuzzy ELECTRE method and experimental analysis on contradiction rates
The purpose of this paper is to extend the ELECTRE method based on intuitionistic fuzzy sets in decision analysis and experimental analysis on the proposed methods’ contradiction rate. We identify different kinds of concordance and discordance sets, e. g. concordance, midrange concordance, weak concordance, discordance, midrange discordance and weak discordance for each ordering at the proposed...
متن کاملObtaining Contradiction Measures on Intuitionistic Fuzzy Sets from Fuzzy Connectives
In a previous paper, we proposed an axiomatic model for measuring self-contradiction in the framework of Atanassov fuzzy sets. This way, contradiction measures that are semicontinuous and completely semicontinuous, from both below and above, were defined. Although some examples were given, the problem of finding families of functions satisfying the different axioms remained open. The purpose of...
متن کامل