MORE ON KRASNER (m, n)-HYPERRINGS

Authors

  • Jinyan Wang Guangxi Normal University - Key Lab of Multi-source Information Mining & Security
  • Jingli Wu Guangxi Normal University - Key Lab of Multi-source Information Mining & Security
  • Zhixin Li Guangxi Normal University - Key Lab of Multi-source Information Mining & Security

Keywords:

Krasner (m; n)-hyperring, soft set, fuzzy set, t-norm, falling shadow

Abstract

In this paper, we introduce (idealistic) soft Krasner (m, n)-hyperrings based on the soft set theory, and derive three isomorphism theorems of soft Krasner (m, n)-hyperrings.  Furthermore, we consider T-fuzzy hyperideals and falling fuzzy hyperideals of Krasner (m, n)-hyperrings by using triangular norms and the theory of falling shadows, respectively, and discuss the relationships among idealistic soft Krasner (m, n)-hyperrings, fuzzy hyperideals, T-fuzzy hyperideals and falling fuzzy hyperideals.

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Wang, J., Wu, J., & Li, Z. (2015). MORE ON KRASNER (m, n)-HYPERRINGS. Italian Journal of Pure and Applied Mathematics, 35, 243–264. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6437

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Jinyan Wang, Jingli Wu, Zhixin Li

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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