Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets in approximate reasoning, Part 1: inference with possibility distributions
Fuzzy Sets and Systems
Resolution of composite fuzzy relation equations based on Archimedean triangular norms
Fuzzy Sets and Systems
Approximation theory of fuzzy systems based upon genuine many-valued implications: SISO cases
Fuzzy Sets and Systems - Fuzzy models
Approximation theory of fuzzy systems based upon genuine many-valued implications: MIMO Cases
Fuzzy Sets and Systems - Fuzzy models
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
Fuzzy relation equations and fuzzy inference systems: an insideapproach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A note on "Resolution of fuzzy relation equations (I) based on Boolean-type implications"
Computers & Mathematics with Applications
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
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The problem of solving fuzzy relation equations (I) based on Boolean-type implications is studied in the present paper. Decomposition of fuzzy relation equations (I) based on Boolean-type implications is presented in a finite case. The solution existence of fuzzy relation equations (I) based on Boolean-type implications is studied, and for nice Boolean-type implications, some new solvability criteria based upon the notion of ''solution matrices'' are discussed. The complete solution set of fuzzy relation equation (1) based on Boolean-type implication can be determined by the maximal solution set of this equation, which is finite. An effective method to solve fuzzy relation equations (I) based on Boolean-type implications is proposed.