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A note on solution sets of interval-valued fuzzy relational equations
Authors:Pingke Li  Shu-Cherng Fang
Institution:(1) Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC 27695-7906, USA;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China;(3) Department of Industrial Engineering, Tsinghua University, Beijing, 100084, China
Abstract:This note discusses three types of solutions for a system of interval-valued fuzzy relational equations with max-T composition and illustrates their relations to the solutions of a system of fuzzy relational inequalities with max-T composition. It validates the major claims appeared in Fuzzy Optimization and Decision Making, 2 (2003) 41–60; 4 (2005) 331–349.
Keywords:Fuzzy relational equations  Fuzzy relational inequalities  Interval-valued system
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