Fuzzy relation equations theory as a basis of fuzzy modelling: an overview
Fuzzy Sets and Systems - Special memorial volume on fuzzy logic and uncertainly modelling
Multidimensional Systems and Signal Processing
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Solving fuzzy relation equations with a linear objective function
Fuzzy Sets and Systems
Optimization of fuzzy relation equations with max-product composition
Fuzzy Sets and Systems
Solving nonlinear optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems
Fast Reverse Jacket Transform As an Alternative Representation of the N-Point Fast Fourier Transform
Journal of Mathematical Imaging and Vision
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
Multi-objective optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
A Note on Fuzzy Relation Programming Problems with Max-Strict-t-Norm Composition
Fuzzy Optimization and Decision Making
Some specific types of fuzzy relation equations
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy relation equations for coding/decoding processes of images and videos
Information Sciences—Informatics and Computer Science: An International Journal
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
On the relation between equations with max-product composition and the covering problem
Fuzzy Sets and Systems
On various eigen fuzzy sets and their application to image reconstruction
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
An accelerated approach for solving fuzzy relation equations with a linear objective function
IEEE Transactions on Fuzzy Systems
An algorithm for solving fuzzy relation equations with max-T composition operator
Information Sciences: an International Journal
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Latticized linear optimization on the unit interval
IEEE Transactions on Fuzzy Systems
Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint
Information Sciences: an International Journal
Satisficing solutions of multi-objective fuzzy optimization problems using genetic algorithm
Applied Soft Computing
Solution to the covering problem
Information Sciences: an International Journal
Linear optimization with bipolar max-min constraints
Information Sciences: an International Journal
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization
Information Sciences: an International Journal
An algorithm for solving optimization problems with fuzzy relational inequality constraints
Information Sciences: an International Journal
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Max-min and max-product compositions are commonly utilized to optimize a linear objective function subject to fuzzy relational equations. Both are members in the class of max-t-norm composition. In this study, the max-av composition is considered for the same optimization model, which does not belong to the max-t-norm composition. However, max-av composition generates some properties of the solution set that are similar to the max-product composition. Thanks to these properties, a simple value matrix with rules can be applied to reduce problem size. Thus, this study proposes an efficient procedure for obtaining optimal solutions without decomposing the problem into two sub-problems or finding all the potential minimal solutions.