Criterion for Generalized Weakly Fuzzy Invex Monotonocities

Meraj A. Khan; Izhar Ahmad; Abdulrahman Aljohani

doi:10.1155/2018/3749650

Criterion for Generalized Weakly Fuzzy Invex Monotonocities

Meraj A. Khan^*, Izhar Ahmad, Abdulrahman Aljohani

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we provide nontrivial examples of fuzzy invex monotonocities and weakly fuzzy invex functions.

Original language	English
Article number	3749650
Journal	Advances in Fuzzy Systems
Volume	2018
DOIs	https://doi.org/10.1155/2018/3749650
State	Published - 2018

Bibliographical note

Funding Information:
The research of the second author is financially supported by King Fahd University of Petroleum and Minerals, Saudi Arabia, under the Internal Research Project no. IN161058.

Publisher Copyright:
© 2018 Meraj A. Khan et al.

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1155/2018/3749650

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abstract = "The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we provide nontrivial examples of fuzzy invex monotonocities and weakly fuzzy invex functions.",

author = "Khan, {Meraj A.} and Izhar Ahmad and Abdulrahman Aljohani",

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N2 - The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we provide nontrivial examples of fuzzy invex monotonocities and weakly fuzzy invex functions.

AB - The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we provide nontrivial examples of fuzzy invex monotonocities and weakly fuzzy invex functions.

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Criterion for Generalized Weakly Fuzzy Invex Monotonocities

Abstract

Bibliographical note

ASJC Scopus subject areas

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