GENERALIZED FUZZY ALGEBRAIC HYPERSYSTEMS

Authors

  • Jianming Shan Hubei University for Nationalities - Department of Mathematics
  • Bijan Davvaz Yazd University - Department of Mathematics
  • Young Bae Jun Gyeongsang National University - Department of Mathematics Education

Keywords:

Algebraic hypersystem, interval valued (α, β)-fuzzy subalgebraic hyper- system, interval valued (∈, ∈ ∨q)-fuzzy subalgebraic hypersystem, entropy, fuzzy logic, implication operator

Abstract

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, which is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set, is introduced.  Using this new idea, the notion of interval valued (α, β)-fuzzy subalgebraic hypersystems in an algebraic hypersystem, which is a generalization of a fuzzy subalgebraic system, is defined, and related properties are investigated. We also discuss entropy of interval valued (α, β)-fuzzy subalgebraic hypersystems.  In particular, the study of interval valued (∈, ∈ ∨q)-fuzzy subalgebraic hypersystems of an algebraic hypersystem is dealt with.  Finally, we consider the concept of implication-based interval valued fuzzy subalgebraic hypersystems.

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Published

2013-05-24

How to Cite

Shan, J., Davvaz, B., & Jun, Y. B. (2013). GENERALIZED FUZZY ALGEBRAIC HYPERSYSTEMS. Italian Journal of Pure and Applied Mathematics, 30, 43–58. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6117

Issue

N°30 - May 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Jianming Shan, Bijan Davvaz, Young Bae Jun

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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