CERTAIN PROPERTIES ASSOCIATED WITH B-PREINVEX FUZZY MAPPINGS

Authors

  • Jiagen Liao China Three Gorges University - Department of Mathematics
  • Tingsong Du China Three Gorges University - Department of Mathematics

Keywords:

Fuzzy numbers, B-preinvex fuzzy mappings, semi-continuity

Abstract

We establish several new characterizations for B-preinvex fuzzy mappings.  Under the condition of upper or lower semi-continuity and the well known Condition C introduced by Mohan and Neogy [J. Math. Anal. Appl., 189 (1995) 901-908], we obtain a sufficient condition for B-preinvex fuzzy mappings.  Several necessary conditions for differentiable and twice differentiable B-preinvex fuzzy mappings are also presented and proved.

Author Biography

Tingsong Du, China Three Gorges University - Department of Mathematics

 

 

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

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Published

2017-07-31

How to Cite

Liao, J., & Du, T. (2017). CERTAIN PROPERTIES ASSOCIATED WITH B-PREINVEX FUZZY MAPPINGS. Italian Journal of Pure and Applied Mathematics, 37, 204–217. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6811

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Jiagen Liao, Tingsong Du

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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