HESITANT FUZZY IDEALS IN ABEL-GRASSMANN’S GROUPOIDS

Authors

  • Asad Ali Beijing Institute of Technology - School of Mathematics and Statistics
  • Madad Khan COMSATS Institute of Information Technology - Department of Mathematics
  • Fu-Gui Shi Beijing Institute of Technology - School of Mathematics and Statistics

Keywords:

hesitant fuzzy sets, hesitant fuzzy \(\mathcal{AG}\)-groupoid, hesitant fuzzy left (resp., right, two-sided, quasi-, bi-, interior) ideal

Abstract

In this paper, we introduced the concepts of hesitant fuzzy sets, hesitant fuzzy product, characteristic hesitant fuzzy set, hesitant fuzzy \(\mathcal{AG}\)-groupoids, hesitant fuzzy left (resp., right, two-sided) ideal, hesitant fuzzy bi-ideal, hesitant fuzzy interior ideal and hesitant fuzzy quasi-ideal in \(\mathcal{AG}\)-groupoids, their examples and basic properties are given.  We also characterized regular, completely regular, weakly regular and quasi-regular \(\mathcal{AG}\)-groupoid by the properties of their hesitant fuzzy ideals.

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

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Published

2015-12-31

How to Cite

Ali, A., Khan, M., & Shi, F.-G. (2015). HESITANT FUZZY IDEALS IN ABEL-GRASSMANN’S GROUPOIDS. Italian Journal of Pure and Applied Mathematics, 35, 537–556. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6398

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Asad Ali, Madad Khan, Fu-Gui Shi

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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