An Optimization Problem with a Fuzzy Set of Fuzzy Constraints

Sergey O. Mashchenko; Mohammed Saad Ibrahim  Al-Sammarraie

doi:10.1615/JAutomatInfScien.v46.i8.50

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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An Optimization Problem with a Fuzzy Set of Fuzzy Constraints

Volume 46, Issue 8, 2014, pp. 38-48

DOI: 10.1615/JAutomatInfScien.v46.i8.50

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Sergey O. Mashchenko
Kiev National Taras Shevchenko University

Mohammed Saad Ibrahim Al-Sammarraie
Kiev National Taras Shevchenko University

ABSTRACT

The method of solving the mathematical programming problem with a fuzzy set of fuzzy constraints is proposed. The membership function of the fuzzy set of type 2, which is a set of its feasible alternatives is built. The properties of this set are investigated and problems of rational solutions choice are considered.

KEY WORDS: mathematical programming problem, a fuzzy set of fuzzy constraints, membership function of the fuzzy set, set of feasible alternatives, rational solutions choice

CITED BY

Mashchenko S., Intersections and unions of fuzzy sets of operands, Fuzzy Sets and Systems, 352, 2018. Crossref

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