Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices

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Asici E.

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ISSN: 2588-4824

Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2022 | Volume:19 | Issue:1 Page(s): 125-140

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Title

Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices

Author(s)

Asici E. | Issue Writer Certificate

Keywords

Bounded lattice

t-norms

t-conorms

Abstract

In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on Bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods by Ertu grul, Kara cal, Mesiar [15] and C ayl [8] as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modi ed ordinal sum for t-norms and t-conorms on Bounded lattices. This paper has further constructed the t-norms and t-conorms on Bounded lattices from a mathematical viewpoint.

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APA: Copy

Asici, E.. (2022). Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS, 19(1 ), 125-140. SID. https://sid.ir/paper/413562/en

Vancouver: Copy

Asici E.. Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2022;19(1 ):125-140. Available from: https://sid.ir/paper/413562/en

IEEE: Copy

E. Asici, “Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 19, no. 1 , pp. 125–140, 2022, [Online]. Available: https://sid.ir/paper/413562/en

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