Affiliations: [a] Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen, Thailand
| [b] Fuzzy Algebras and Decision-Making Problems Research Unit Department of Mathematics, School of Science, University of Phayao, Phayao, Thailand
| [c] Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok, Thailand
Correspondence:
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Corresponding author. Nareupanat Lekkoksung, Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen 40000, Thailand. E-mail: nareupanat.le@rmuti.ac.th.
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.
