Representations of ordered semigroups and their interconnection-Reference-Cited by-同舟云学术

Representations of ordered semigroups and their interconnection

Published:2023-04-03 Issue:4 Volume:44 Page:6877-6884
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Lekkoksung Somsak¹,Iampan Aiyared²,Julatha Pongpun³,Lekkoksung Nareupanat¹

Affiliation:

1. Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen, Thailand

2. Fuzzy Algebras and Decision-Making Problems Research Unit Department of Mathematics, School of Science, University of Phayao, Phayao, Thailand

3. Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok, Thailand

Abstract

It is known that any ordered semigroup embeds into the structure consisting of the set of all fuzzy sets together with an associative binary operation and a partial order with compatibility. In this study, we provide two classes of ordered semigroups in which any model in these classes is a representation of any ordered semigroup. Moreover, we give an interconnection of a class we constructed.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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