Maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints
In this paper, the problem of maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints is studied. First of all, it is shown that the bipolar max-product Fuzzy Relation Inequality (FRI) system can equivalently be converted to a bipolar max-product...
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| Published in | Journal of intelligent & fuzzy systems Vol. 32; no. 1; pp. 337 - 350 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
01.01.2017
Sage Publications Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1064-1246 1875-8967 |
| DOI | 10.3233/JIFS-151820 |
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| Abstract | In this paper, the problem of maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints is studied. First of all, it is shown that the bipolar max-product Fuzzy Relation Inequality (FRI) system can equivalently be converted to a bipolar max-product Fuzzy Relation Equation (FRE) system. Hence, the structure of feasible domain of the problem is determined in the case of the bipolar max-product FRE system. It is shown that its solution set is non-convex, in a general case. Some sufficient conditions are proposed for solution existence of its feasible domain. An algorithm is designed to solve the optimization problem with regard to the structure of its feasible domain and the properties of the objective function. Its importance is also illustrated by an application example in the area of economics and covering problem. Some numerical examples are given to illustrate the above points. |
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| AbstractList | In this paper, the problem of maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints is studied. First of all, it is shown that the bipolar max-product Fuzzy Relation Inequality (FRI) system can equivalently be converted to a bipolar max-product Fuzzy Relation Equation (FRE) system. Hence, the structure of feasible domain of the problem is determined in the case of the bipolar max-product FRE system. It is shown that its solution set is non-convex, in a general case. Some sufficient conditions are proposed for solution existence of its feasible domain. An algorithm is designed to solve the optimization problem with regard to the structure of its feasible domain and the properties of the objective function. Its importance is also illustrated by an application example in the area of economics and covering problem. Some numerical examples are given to illustrate the above points. |
| Author | Ardalan, Shadi Shahab Abbasi Molai, Ali Aliannezhadi, Samaneh |
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| CitedBy_id | crossref_primary_10_1155_2018_1610349 crossref_primary_10_1109_TFUZZ_2020_3021726 crossref_primary_10_1016_j_fss_2023_108835 crossref_primary_10_1016_j_fss_2019_08_012 crossref_primary_10_1016_j_fss_2024_109011 crossref_primary_10_1142_S0218488520500269 crossref_primary_10_1016_j_fss_2019_08_005 crossref_primary_10_1109_TFUZZ_2020_3029633 crossref_primary_10_1109_TFUZZ_2023_3305641 crossref_primary_10_1016_j_fss_2025_109363 crossref_primary_10_3233_JIFS_191565 |
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| Keywords | non-convex optimization max-product composition bipolar variables Bipolar fuzzy relation equation |
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| Snippet | In this paper, the problem of maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints is studied. First of... |
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| SubjectTerms | Fuzzy systems Maximization |
| Title | Maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints |
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