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Article type: Research Article
Authors: Dai, Songsonga | Cheng, Wentaob; *
Affiliations: [a] School of Electronics and Information Engineering, Taizhou University, Taizhou, China | [b] School of Mathematics and Computation Science, Anqing Normal University, Anqing, China
Correspondence: [*] Corresponding author. Wentao Cheng, School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, China. E-mail: [email protected].
Abstract: This paper introduces noncommutative symmetric difference operators for fuzzy logics. Structures and properties of these operators are investigated. Finally, pseudo-quasi-metric and pseudo-metric are constructed on [0,1] based on the noncommutative symmetric differences.
Keywords: Noncommutative symmetric difference, t-norm, difference operator, pseudo-quasi-metric
DOI: 10.3233/JIFS-190400
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 6, pp. 8005-8013, 2019
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