Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy points, fuzzy relations and fuzzy functions
Discovering the world with fuzzy logic
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Exploratory Social Network Analysis with Pajek
Exploratory Social Network Analysis with Pajek
Network Analysis: Methodological Foundations (Lecture Notes in Computer Science)
Network Analysis: Methodological Foundations (Lecture Notes in Computer Science)
Algorithm for Solving Max-product Fuzzy Relational Equations
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Fuzzy equivalence relations and their equivalence classes
Fuzzy Sets and Systems
System of fuzzy relation equations as a continuous model of IF-THEN rules
Information Sciences: an International Journal
Social Networks and the Semantic Web (Semantic Web and Beyond)
Social Networks and the Semantic Web (Semantic Web and Beyond)
Uniform fuzzy relations and fuzzy functions
Fuzzy Sets and Systems
Fuzzy Systems Engineering: Toward Human-Centric Computing
Fuzzy Systems Engineering: Toward Human-Centric Computing
Fuzzy relation equations and reduction of fuzzy automata
Journal of Computer and System Sciences
Bisimulations for fuzzy automata
Fuzzy Sets and Systems
Factorization of fuzzy automata
FCT'07 Proceedings of the 16th international conference on Fundamentals of Computation Theory
Fuzzy relation equations and subsystems of fuzzy transition systems
Knowledge-Based Systems
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New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatovic et al., On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations, Fuzzy Sets Syst. 161 (2010) 3081-3113]. The mentioned paper dealt with homogeneous weakly linear systems, composed of fuzzy relations on a single set, and a method for computing their greatest solutions has been provided. This method is based on the computing of the greatest post-fixed point, contained in a given fuzzy relation, of an isotone function on the lattice of fuzzy relations. Here we adapt this method for computing the greatest solutions of heterogeneous weakly linear systems, where the unknown fuzzy relation relates two possibly different sets. We also introduce and study quotient fuzzy relational systems and establish relationships between solutions to heterogeneous and homogeneous weakly linear systems. Besides, we point out to applications of the obtained results in the state reduction of fuzzy automata and computing the greatest simulations and bisimulations between fuzzy automata, as well as in the positional analysis of fuzzy social networks.