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Algebraic relations over l-fuzzy soft groups

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Abstract

Inspired by the analysis of soft sets and fuzzy sets, in this paper, we study the relevance and interrelationship of the equivalence and congruence relation of lattice ordered fuzzy soft groups(l-FSGs). Moreover, we analyze some of the innate algebraic results accrued out of it theoretically. We construct l-FSG congruence class and l-FSG quotient set on a group X. We analyze the relationship between l-FSG congruence relation and l-FSG normal subgroups. In particular, we prove that in a group X, l-FSG normal subgroups form a modular lattice.

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Acknowledgements

The article has been written with the joint financial support of RUSA-Phase 2.0 grant sanctioned vide letter No.F 24-51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, Dt. 09.10.2018, UGC-SAP (DRS-I) vide letter No.F.510/8/DRS-I/2016(SAP-I) Dt. 23.08.2016, DST-PURSE 2nd Phase programme vide letter No. SR/PURSE Phase 2/38 (G) Dt. 21.02.2017 and DST (FST - level I) 657876570 vide letter No.SR/FIST/MS-I/2018/17 Dt. 20.12.2018.

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Authors and Affiliations

  1. Department of Mathematics, Bharathidasan University, Trichy, Tamilnadu, India

    J. Arockia Reeta

  2. Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India

    J. Vimala

  3. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

    A. Borumand Saeid

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  1. J. Arockia Reeta
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  2. J. Vimala
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  3. A. Borumand Saeid
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Correspondence to J. Vimala.

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Reeta, J.A., Vimala, J. & Saeid, A.B. Algebraic relations over l-fuzzy soft groups. Afr. Mat. 32, 707–721 (2021). https://doi.org/10.1007/s13370-020-00855-5

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