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A generalized approach to fuzzy optimization

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A generalized approach to fuzzy optimization. / Angelov, Plamen.
In: International Journal of Intelligent Systems, Vol. 9, No. 3, 1994, p. 261-268.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Angelov, P 1994, 'A generalized approach to fuzzy optimization', International Journal of Intelligent Systems, vol. 9, no. 3, pp. 261-268. https://doi.org/10.1002/int.4550090302

APA

Angelov, P. (1994). A generalized approach to fuzzy optimization. International Journal of Intelligent Systems, 9(3), 261-268. https://doi.org/10.1002/int.4550090302

Vancouver

Angelov P. A generalized approach to fuzzy optimization. International Journal of Intelligent Systems. 1994;9(3):261-268. doi: 10.1002/int.4550090302

Author

Angelov, Plamen. / A generalized approach to fuzzy optimization. In: International Journal of Intelligent Systems. 1994 ; Vol. 9, No. 3. pp. 261-268.

Bibtex

@article{80794630ec4941a28b28e9222103a368,
title = "A generalized approach to fuzzy optimization",
abstract = "A new approach to fuzzy optimization based on the generalization of Bellman-Zadeh's (BZ) concept is proposed in this article. It consists of a parametric generalization of intersection of fuzzy sets and a generalized defuzzification method. This approach allows the solving of a fuzzy mathematical programming (FMP) problem without transformation to a crisp one. It takes into account all possible fuzzy decisions and allows the degree of conjunction of criteria and constraints to vary. BZ method can be considered a special case of the approach proposed here. A simple algorithm for noniterative solving FMP problem is proposed whereas well-known Zimmermann's approach uses numerical methods. an illustrative example is presented. {\textcopyright} 1994 John Wiley & Sons, Inc.",
keywords = "Add DCS-publications-id, art-559, Add DCS-publications-personnel-id, 82",
author = "Plamen Angelov",
year = "1994",
doi = "10.1002/int.4550090302",
language = "English",
volume = "9",
pages = "261--268",
journal = "International Journal of Intelligent Systems",
issn = "1098-111X",
publisher = "John Wiley and Sons Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - A generalized approach to fuzzy optimization

AU - Angelov, Plamen

PY - 1994

Y1 - 1994

N2 - A new approach to fuzzy optimization based on the generalization of Bellman-Zadeh's (BZ) concept is proposed in this article. It consists of a parametric generalization of intersection of fuzzy sets and a generalized defuzzification method. This approach allows the solving of a fuzzy mathematical programming (FMP) problem without transformation to a crisp one. It takes into account all possible fuzzy decisions and allows the degree of conjunction of criteria and constraints to vary. BZ method can be considered a special case of the approach proposed here. A simple algorithm for noniterative solving FMP problem is proposed whereas well-known Zimmermann's approach uses numerical methods. an illustrative example is presented. © 1994 John Wiley & Sons, Inc.

AB - A new approach to fuzzy optimization based on the generalization of Bellman-Zadeh's (BZ) concept is proposed in this article. It consists of a parametric generalization of intersection of fuzzy sets and a generalized defuzzification method. This approach allows the solving of a fuzzy mathematical programming (FMP) problem without transformation to a crisp one. It takes into account all possible fuzzy decisions and allows the degree of conjunction of criteria and constraints to vary. BZ method can be considered a special case of the approach proposed here. A simple algorithm for noniterative solving FMP problem is proposed whereas well-known Zimmermann's approach uses numerical methods. an illustrative example is presented. © 1994 John Wiley & Sons, Inc.

KW - Add DCS-publications-id

KW - art-559

KW - Add DCS-publications-personnel-id

KW - 82

U2 - 10.1002/int.4550090302

DO - 10.1002/int.4550090302

M3 - Journal article

VL - 9

SP - 261

EP - 268

JO - International Journal of Intelligent Systems

JF - International Journal of Intelligent Systems

SN - 1098-111X

IS - 3

ER -