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Neutrosophic κ-Structures in Ordered Semigroups

G. Muhiuddin1,*, K. Porselvi2, B. Elavarasan2, D. Al-Kadi3

1 Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia
2 Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, 641114, India
3 Department of Mathematics and Statistic, College of Science, Taif University, Taif, 21944, Saudi Arabia

* Corresponding Author: G. Muhiuddin. Email: email

(This article belongs to the Special Issue: Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications (ANPSESTMA))

Computer Modeling in Engineering & Sciences 2022, 131(2), 979-999. https://doi.org/10.32604/cmes.2022.018615

Abstract

In general, ordered algebraic structures, particularly ordered semigroups, play an important role in fuzzification in many applied areas, such as computer science, formal languages, coding theory, error correction, etc. Nowadays, the concept of ambiguity is important in dealing with a variety of issues related to engineering modeling problems, network theory, decision-making problems in real-life situations, and so on. Several theories have been developed by various researchers to overcome the difficulties that arise from uncertainty, including fuzzy sets, intuitionistic fuzzy sets, probability, soft sets, neutrosophic sets, and many more. In this paper, we focus solely on neutrosophic set theory. In ordered semigroups, we define and investigate the properties of neutrosophic κ-ideals and neutrosophic κ-interior ideals. We also use neutrosophic κ-ideals and neutrosophic κ-interior ideals to characterize ordered semigroups.

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APA Style
Muhiuddin, G., Porselvi, K., Elavarasan, B., Al-Kadi, D. (2022). Neutrosophic <i>κ</i>-structures in ordered semigroups. Computer Modeling in Engineering & Sciences, 131(2), 979-999. https://doi.org/10.32604/cmes.2022.018615
Vancouver Style
Muhiuddin G, Porselvi K, Elavarasan B, Al-Kadi D. Neutrosophic <i>κ</i>-structures in ordered semigroups. Comput Model Eng Sci. 2022;131(2):979-999 https://doi.org/10.32604/cmes.2022.018615
IEEE Style
G. Muhiuddin, K. Porselvi, B. Elavarasan, and D. Al-Kadi "Neutrosophic <i>κ</i>-Structures in Ordered Semigroups," Comput. Model. Eng. Sci., vol. 131, no. 2, pp. 979-999. 2022. https://doi.org/10.32604/cmes.2022.018615



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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