Fermatean fuzzy semi-prime ideals of ordered semigroups-Reference-Cited by-同舟云学术

Fermatean fuzzy semi-prime ideals of ordered semigroups

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Adak Amal Kumar¹,Nilkamal ²,Barman Navendu³

Affiliation:

1. Department of Mathematics, Ganesh Dutt College , Begusarai, 851101 , India

2. Department of Mathematics, Lalit Narayan Mithila University , Darbhanga 846004 , India

3. Department of Mathematics, West Bengal State University , Barasat , Kolkata, 700126 , India

Abstract

Abstract Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups. Fermatean fuzzy semi-prime ideals and Fermatean fuzzy prime ideals are introduced. Also, we illustrate some novel concepts to construct Fermatean fuzzy intra-regular and regular ideals. Using the conception of function of the characteristic of ordered semigroups of FFSs, we show certain fundamental facts. Several relations are given for the family of Fermatean fuzzy regular ideals of ordered semigroups.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2023-0102/pdf

Reference23 articles.

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3. A. K. Adak, D. D. Salokolaei, Some properties rough Pythagorean fuzzy sets, Fuzzy Inform Eng (IEEE) 13 (2021), no. 4, 420–435.

4. A. K. Adak, Characterization of Pythagorean Q-fuzzy ideal of near-ring, Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI-Global, USA, 2022, pp. 229–242.

5. A. K. Adak, Nilkamal, K. N. Srivastava, New ranking approach to solve MCDM problems with generalized intuitionistic fuzzy information. in: Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain, Studies in Fuzziness and Soft Computing, vol. 420, Springer, Singapore, 2022, pp. 559–566.

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