REPRESENTATION OF UP -ALGEBRAS IN INTERVAL-VALUED INTUITIONISTIC FUZZY ENVIRONMENT

Authors

  • Tapan Senapati Vidyasagar University - Department of Applied Mathematics with Oceanology and Computer Programming
  • G. Muhiuddin University of Tabuk - Department of Mathematics
  • K.P. Shum Yunnan University - Institute of Mathematics

Keywords:

UP-algebra, interval-valued intuitionistic fuzzy set, interval-valued intuitionistic fuzzy UP-subalgebra, interval-valued intuitionistic fuzzy UP-ideal, equivalence relation, upper(lower)-level cuts, product of UP-algebra

Abstract

In this paper, the concept of interval-valued intuitionistic fuzzy set to UP-subalgebras and UP-ideals of UP-algebras are introduced.  Relations among IVIF UP-subalgebras with IVIF UP-ideals of UP-algebras are investigated.  The homomorphic image and inverse image of IVIF UP-subalgebras and IVIF UP-ideals are studied and some related properties are investigated.  Equivalence relations on IVIF UP-ideals are discussed.  Also, the product of IVIF UP-algebras are investigated.

Cover of n°38 Italian Journal of Pure and Applied Mathematics

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Published

2017-07-31

How to Cite

Senapati, T., Muhiuddin, G., & Shum, K. (2017). REPRESENTATION OF UP -ALGEBRAS IN INTERVAL-VALUED INTUITIONISTIC FUZZY ENVIRONMENT. Italian Journal of Pure and Applied Mathematics, 37, 497–518. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6783

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Tapan Senapati, G. Muhiuddin, K.P. Shum

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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