Sets of solution-set-invariant coefficient matrices of simple fuzzy relation equations
Fuzzy Sets and SystemsPublished 1 January 1987
Masaaki Miyakoshi, Masaru Shimbo
Citations28
SJR quartileQ1
SJR score0.75
SNIP1.25
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TL;DR
A set of coefficient matrices which are invariant to a solution set of a simple fuzzy relation equation is considered and the equipollency of the cardinal numbers of solution sets ofsimple fuzzy relation equations for two constant vectors is shown.
Abstract
A set of coefficient matrices which are invariant to a solution set of a simple fuzzy relation equation is considered. The equipollency of the cardinal numbers of solution sets of simple fuzzy relation equations for two constant vectors is also shown.
Keywords
Computer Science
Information and ControlResolution of composite fuzzy relation equations
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The definition of ρ - equivalent ones is introduced, which allows us to constrain the authors' research without loss of generality to fuzzy relation equations where T does not have zero-components.
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IFAC Proceedings VolumesOn Measures of Fuzziness of Solutions of Composite Fuzzy Relation Equations
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The solutions of a max- min fuzzy relation equation of Sanchez (1976) are studied by determining ones which have the greatest energy measure and the smallest entropy measure of fuzziness.
