Solving interval-valued fuzzy relation equations |
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| Authors: | Guangzhi Li Shu-Cherng Fang |
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| Affiliation: | Dept. of Oper. Res. & Ind. Eng., North Carolina State Univ., Raleigh, NC; |
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| Abstract: | Solving systems of fuzzy relation equations is an important topic in fuzzy set theory. This paper studies the composite interval-valued fuzzy relation equations. After analyzing the properties of its solution set, we convert the fuzzy relation equations into a fuzzy relation inequality system and propose an efficient computational procedure to generate the whole solution set. Examples are included to illustrate the idea and algorithm |
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