The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative

Y. Chalco-Cano; W. A. Lodwick; H. Roman-Flores

doi:10.1109/IFSA-NAFIPS.2013.6608400

The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative

Y. Chalco-Cano
, W. A. Lodwick
, H. Roman-Flores

Department of Mathematics

University of Colorado Denver
Universidad de Tarapacá

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

14 Scopus citations

Abstract

In this paper we consider optimization problems with fuzzy-valued objective function. For this class of fuzzy optimization problems we obtain Karush-Kuhn-Tucker type optimality conditions considering the concept of strongly generalized differentiable fuzzy-valued functions.

Original language	English
Title of host publication	Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
Pages	203-208
Number of pages	6
DOIs	https://doi.org/10.1109/IFSA-NAFIPS.2013.6608400
State	Published - 2013
Event	9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 - Edmonton, AB, Canada Duration: 24 Jun 2013 → 28 Jun 2013

Publication series

Name	Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013

Conference

Conference	9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
Country/Territory	Canada
City	Edmonton, AB
Period	24/06/13 → 28/06/13

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10.1109/IFSA-NAFIPS.2013.6608400

Cite this

Chalco-Cano, Y., Lodwick, W. A., & Roman-Flores, H. (2013). The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative. In Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 (pp. 203-208). Article 6608400 (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013). https://doi.org/10.1109/IFSA-NAFIPS.2013.6608400

Chalco-Cano, Y. ; Lodwick, W. A. ; Roman-Flores, H. / The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative. Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013. 2013. pp. 203-208 (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013).

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title = "The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative",

abstract = "In this paper we consider optimization problems with fuzzy-valued objective function. For this class of fuzzy optimization problems we obtain Karush-Kuhn-Tucker type optimality conditions considering the concept of strongly generalized differentiable fuzzy-valued functions.",

author = "Y. Chalco-Cano and Lodwick, \{W. A.\} and H. Roman-Flores",

year = "2013",

doi = "10.1109/IFSA-NAFIPS.2013.6608400",

language = "English",

isbn = "9781479903474",

series = "Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013",

pages = "203--208",

booktitle = "Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013",

note = "9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 ; Conference date: 24-06-2013 Through 28-06-2013",

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Chalco-Cano, Y, Lodwick, WA & Roman-Flores, H 2013, The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative. in Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013., 6608400, Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, pp. 203-208, 9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, Edmonton, AB, Canada, 24/06/13. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608400

The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative. / Chalco-Cano, Y.; Lodwick, W. A.; Roman-Flores, H.
Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013. 2013. p. 203-208 6608400 (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Chalco-Cano Y, Lodwick WA, Roman-Flores H. The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative. In Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013. 2013. p. 203-208. 6608400. (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013). doi: 10.1109/IFSA-NAFIPS.2013.6608400

The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative

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