Some construction methods of interval-valued implications on bounded lattices

Document Type : Research Paper

Authors

1 Karadeniz Technical University

2 Karadeniz Teknik Üniversitesi

3 Karadeniz Technical University Faculty of Scince Department of Mathematics TRABZON/TURKEY

Abstract

In recent years, implication operators have been studied intensively from many perspectives. These include the study of construction methods of implication operators. Additionally, it has been investigated whether some aggregation operators such as t-norm in interval-valued L-fuzzy set theory are representable. In this paper, we present some construction methods to obtain interval-valued implications, which are i-representable or not depending on the lattice and fuzzy logic operators, via some fuzzy logic operators, order preserving and/or order reversing functions. Moreover, many illustrative examples are included.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 21, Issue 6
November and December 2024
Pages 33-54

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