Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms and Implications Satisfying the Order Property
Applied and Computational Mathematics
Volume 6, Issue 1, February 2017, Pages: 45-53
Received: Jan. 8, 2017; Accepted: Jan. 19, 2017; Published: Feb. 23, 2017
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Authors
Zhudeng Wang, School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, People's Republic of China
Yuan Wang, College of Information Engineering, Yancheng Teachers University, Yancheng, People's Republic of China
Keming Tang, College of Information Engineering, Yancheng Teachers University, Yancheng, People's Republic of China
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Abstract
We firstly give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation. Then, we lay bare the formulas for calculating the upper and lower approximation implications, which satisfy the order property, of a binary operation. Finally, we reveal the relationships between the upper approximation strict left (right)-conjunctive left (right) arbitrary ˅-distributive left (right) semi-uninorms and lower approximation right arbitrary ˄-distributive implications which satisfy the order property.
Keywords
Fuzzy Logic, Fuzzy Connective, Left (Right) Semi-Uninorm, Implication, Strict Left (Right)-Conjunctive
To cite this article
Zhudeng Wang, Yuan Wang, Keming Tang, Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms and Implications Satisfying the Order Property, Applied and Computational Mathematics. Vol. 6, No. 1, 2017, pp. 45-53. doi: 10.11648/j.acm.20170601.13
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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