<i>T</i>-Fuzzy Subhypernear-Modules

Serkan Onar; Bayram Ali Ersoy; Kostaq Hila; Bijan Davvaz

doi:10.26599/FIE.2023.9270013

Fuzzy Information and Engineering 2023, 15(2): 162-182 https://doi.org/10.26599/FIE.2023.9270013

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Open Access | Issue | Published: 30 June 2023

T-Fuzzy Subhypernear-Modules

Show Author's Information Hide Author's Information Serkan Onar^¹, Bayram Ali Ersoy^², Kostaq Hila^³(

), Bijan Davvaz^⁴

1Department of Mathematical Engineering, Yildiz Technical University, Istanbu 34220, Turkey

2Department of Mathematics, Yildiz Technical University, Istanbu 34220, Turkey

3Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania

4Department of Mathematical Sciences, Yazd University, Yazd 8915818411, Iran

Keywords:

hypernear-module, t-norm, fuzzy subhypernear-module, T-fuzzy subhypernear-module

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Onar S, Ersoy BA, Hila K, et al. T-Fuzzy Subhypernear-Modules. Fuzzy Information and Engineering, 2023, 15(2): 162-182. https://doi.org/10.26599/FIE.2023.9270013

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Abstract

The objective of this study is to investigate the fuzzy subhypernear-modules over hypernear-ring by using a triangular norm, which is T-fuzzy subhypernear-modules are a generalization of fuzzy submodules of hyper near-modules, and some related properties are discussed. Idempotent T-fuzzy subhypernear-module of hypernear-module and subhypernear-module of hypernear-module are suggested. The relation between a level subset of T-fuzzy subhypernear-module of hypernear-module and subhypernear-modules are presented. Also, the image and inverse image of T-fuzzy subhypernear-modules under a mapping are introduced. The direct product of T-fuzzy subhypernear-modules are investigated and the finite direct product of hypernear-modules are characterized in terms of T-fuzzy subhypernear-modules.

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T-Fuzzy Subhypernear-Modules

Show Author's information Hide Author's Information Serkan Onar^¹, Bayram Ali Ersoy^², Kostaq Hila^³(

), Bijan Davvaz^⁴

1Department of Mathematical Engineering, Yildiz Technical University, Istanbu 34220, Turkey

2Department of Mathematics, Yildiz Technical University, Istanbu 34220, Turkey

3Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania

4Department of Mathematical Sciences, Yazd University, Yazd 8915818411, Iran

Abstract

Keywords: hypernear-module, t-norm, fuzzy subhypernear-module, T-fuzzy subhypernear-module

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Received: 18 February 2023

Revised: 30 March 2023

Accepted: 24 May 2023

Published: 30 June 2023

Issue date: June 2023

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This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).