INTERVAL-VALUED FUZZY HYPERGRAPH AND INTERVAL-VALUED FUZZY HYPEROPERATIONS

Authors

  • Yuming Feng Chongqing Three Gorges University - School of Mathematics and Statistics
  • Dan Tu Chongqing Three Gorges University - School of Mathematics and Statistics
  • Hongyi Li Chongqing Three Gorges University - School of Mathematics and Statistics

Keywords:

interval-valued fuzzy hyperoperation, interval-valued fuzzy hypergraph, quasi-hypergroup, superlattice

Abstract

We first construct two interval-valued fuzzy hyperoperations by the use of [α, β]-cut on an interval-valued [α, β]-fuzzy hypergraph and list some properties of them.  Then we construct another two interval-valued fuzzy hyperoperations by the use of ⟨α, β⟩-cut on an interval-valued ⟨α, β⟩¯fuzzy hypergraph and also list some properties of them.  Lastly, we study the interval-valued fuzzy hyperstructure associated to the latter two interval-valued fuzzy hyperoperations and we can see that the hyperstructure is almost an interval-valued superlattice.

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Published

2016-07-29

How to Cite

Feng, Y., Tu, D., & Li, H. (2016). INTERVAL-VALUED FUZZY HYPERGRAPH AND INTERVAL-VALUED FUZZY HYPEROPERATIONS. Italian Journal of Pure and Applied Mathematics, 36, 1–12. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6660

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Yuming Feng, Dan Tu, Hongyi 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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