Journal of Algorithms and Computation
Open Access

Comparison of solutions resulted from direct problems formulated as FRE

Document Type : Research Paper

Authors

Amin Ghodousian 1
Sara Zal 2

1 Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran.

2 College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran.

https://doi.org/10.22059/jac.2022.88038
Abstract
In this paper, we investigate direct solution of FRE and compare their results with expected real consequences. We give an applied example formulated by a FRE problem and show that FRE defined by maximum t-conorm and an arbitrary t-norm can yield different interpretations for our example. A necessary condition and a sufficient condition are presented that guarantee FRE defined by maximum t-conorm and minimum t-norm attain the same solutions as human mind does. Also, we present a t-conorm and use it instead of maximum t-conorm in FRE to obtain solutions with highest similarity with real ones. Finally, we show that under some conditions, FRE defined by any t-conorm and any t-norm may find a solution which is not reasonable.

Keywords

Fuzzy relation
composition of fuzzy relations
Fuzzy relational equations
and Fuzzy operators
Journal of Algorithms and Computation
Volume 54, Issue 1
June 2022
Pages 73-87

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