On direct and inverse problems for fuzzy equation systems with tolerances
Fuzzy Sets and Systems
Resolution of composite interval-valued fuzzy relation equations
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
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
Solution Sets of Interval-Valued Min-S-Norm Fuzzy Relational Equations
Fuzzy Optimization and Decision Making
Some properties of infinite fuzzy relational equations on complete Brouwerian lattices
Fuzzy Sets and Systems
Solution sets of fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
On the minimal solutions of max--min fuzzy relational equations
Fuzzy Sets and Systems
Resolution of matrix equations over arbitrary Brouwerian lattices
Fuzzy Sets and Systems
Sufficient and necessary conditions for Boolean fuzzy systems as universal approximators
Information Sciences: an International Journal
Design of interval type-2 fuzzy sliding-mode controller
Information Sciences: an International Journal
Infinite fuzzy relation equations with continuous t-norms
Information Sciences: an International Journal
Computers & Mathematics with Applications
Is there a need for fuzzy logic?
Information Sciences: an International Journal
A note on solution sets of interval-valued fuzzy relational equations
Fuzzy Optimization and Decision Making
A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks
Information Sciences: an International Journal
Fuzzy Systems Engineering: Toward Human-Centric Computing
Fuzzy Systems Engineering: Toward Human-Centric Computing
Equivalent bipolar fuzzy relations
Fuzzy Sets and Systems
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
A constructive method for the definition of interval-valued fuzzy implication operators
Fuzzy Sets and Systems
On interval fuzzy S-implications
Information Sciences: an International Journal
Interval valued QL-implications
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
Fuzzy Sets and Systems
Interval Type-2 fuzzy voter design for fault tolerant systems
Information Sciences: an International Journal
Robustness of interval-valued fuzzy inference
Information Sciences: an International Journal
Solving interval-valued fuzzy relation equations
IEEE Transactions on Fuzzy Systems
On the representation of intuitionistic fuzzy t-norms and t-conorms
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
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Fuzzy relation equations play an important role in fuzzy set theory. Interval-valued fuzzy set theory is an extension of fuzzy theory in which a closed subinterval of the unit interval is assigned with membership degree. Therefore, it is very significant to study interval-valued fuzzy relation equations from both the theoretical and practical viewpoints. In this paper, the solution sets of interval-valued fuzzy relation equations with inf-- composition is investigated, where - is interval-valued R-, S- or QL-implication. Necessary and sufficient conditions such that there exist solutions for these equations are first shown. Some sufficient conditions for existence of maximal solutions for these equations are represented, and then it is shown that the complete solution sets of inf-- interval-valued fuzzy relation equations can be determined by their maximal solutions. Finally, the solution sets of linear interval-valued fuzzy relation equations are described by a method similar to that in linear algebra.