Generalization of (Q,L)-Fuzzy Soft Subhemirings of a Hemiring

Author:

Geetha K.1ORCID,Anitha N.2ORCID,Noeiaghdam S.34ORCID,Fernandez-Gamiz U.5ORCID,Santra S.S.67ORCID,Khedher K.M.89ORCID

Affiliation:

1. Department of Mathematics, Periyar University, Salem – 11, Tamilnadu, India

2. Department of Mathematics, Periyar University PG Extension Centre, Dharmapuri 636701, Tamilnadu, India

3. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia

4. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia

5. Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz 01006, Spain

6. Department of Mathematics, JIS College of Engineering, Kalyani 741235, India

7. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India

8. Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia

9. Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia

Abstract

This paper investigates the properties and results of (Q,L)-fuzzy soft subhemirings ((Q,L)-FSSHR) of a hemiring R. The motivation behind this study is to utilize the concept of L-fuzzy soft set of a hemiring and to derive a few specific outcomes on (Q, L)-FSSHR. The concepts of strongest Q-fuzzy soft set relation, Q-isomorphism, pseudo-Q-fuzzy soft coset, and some of their related properties are implemented while analyzing the results. Finally, the properties are verified with a numerical example from the 2000 AMS subject classification: 05C38, 05A15, and 15A18.

Funder

government of the Basque Country

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference29 articles.

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3. Generalized intuitionistic fuzzy soft sets with applications in decision-making

4. L-fuzzy sets

5. Fuzzy soft sets;P. K. Maji;Journal of Fuzzy Mathematics,2001

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