Fixed points of involutive interval-valued negations |
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| Authors: | Jiachao Wu Maokang Luo |
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| Affiliation: | a Department of Mathematics, Sichuan University, Chengdu 610064, China
b Department of mathematics, Shandong Normal University, Jinan 250014, China |
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| Abstract: | Different from involutive negations on [0, 1], the fixed points of an involutive interval-valued negation are uncountable. In this paper, all the fixed points of an involutive interval-valued negation are characterized. Also, it is proved that an involutive interval-valued negation is uniquely determined by its fixed points. Moreover, a constructive representation of involutive interval-valued negations is obtained. |
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| Keywords: | Interval-valued negations Involutive interval-valued negations Fixed points |
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