Criterion for Generalized Weakly Fuzzy Invex Monotonocities
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/3749650 |
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| _version_ | 1850175549344841728 |
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| author | Meraj A. Khan Izhar Ahmad Abdulrahman Aljohani |
| author_facet | Meraj A. Khan Izhar Ahmad Abdulrahman Aljohani |
| author_sort | Meraj A. Khan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c03a28d2ece3470da1f2ee3fb23a9c57 |
| institution | OA Journals |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-c03a28d2ece3470da1f2ee3fb23a9c572025-08-20T02:19:26ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/37496503749650Criterion for Generalized Weakly Fuzzy Invex MonotonocitiesMeraj A. Khan0Izhar Ahmad1Abdulrahman Aljohani2Department of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaThe 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.http://dx.doi.org/10.1155/2018/3749650 |
| spellingShingle | Meraj A. Khan Izhar Ahmad Abdulrahman Aljohani Criterion for Generalized Weakly Fuzzy Invex Monotonocities Advances in Fuzzy Systems |
| title | Criterion for Generalized Weakly Fuzzy Invex Monotonocities |
| title_full | Criterion for Generalized Weakly Fuzzy Invex Monotonocities |
| title_fullStr | Criterion for Generalized Weakly Fuzzy Invex Monotonocities |
| title_full_unstemmed | Criterion for Generalized Weakly Fuzzy Invex Monotonocities |
| title_short | Criterion for Generalized Weakly Fuzzy Invex Monotonocities |
| title_sort | criterion for generalized weakly fuzzy invex monotonocities |
| url | http://dx.doi.org/10.1155/2018/3749650 |
| work_keys_str_mv | AT merajakhan criterionforgeneralizedweaklyfuzzyinvexmonotonocities AT izharahmad criterionforgeneralizedweaklyfuzzyinvexmonotonocities AT abdulrahmanaljohani criterionforgeneralizedweaklyfuzzyinvexmonotonocities |