A NOVEL VIEW OF ROUGH SOFT SEMIGROUPS BASED ON FUZZY IDEALS

Authors

  • Qiumei Wang Hubei University for Nationalities - Department of Mathematics
  • Jianming Zhan Hubei University for Nationalities - Department of Mathematics

Keywords:

fuzzy ideal, rough soft set, rough soft (prime, bi) ideal

Abstract

By using a special t-level relation U (µ, t) = {(x, y) ∈ S × S | (µ(x) ∧ µ(y)) ∨ IdS (x, y) ≥ t} based on a fuzzy ideal µ of a semigroup S, which is a congruence relation, we study the roughness of soft semigroups under this special ideal of S, such as rough soft subsemigroups, rough soft ideals and rough soft prime ideals.

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Wang, Q., & Zhan, J. (2017). A NOVEL VIEW OF ROUGH SOFT SEMIGROUPS BASED ON FUZZY IDEALS. Italian Journal of Pure and Applied Mathematics, 37, 673–686. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6667

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Qiumei Wang, Jianming Zhan

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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