{"title":"一类具有最大-最小和最大-平均组合的混合模糊关系方程约束下的非线性非凸优化问题","authors":"Shuang Feng, Yingqiu Ma, Jinquan Li","doi":"10.1109/CIS.2012.42","DOIUrl":null,"url":null,"abstract":"In this paper, a kind of nonlinear and non-convex optimization problems under the constraints expressed by a system of mixed fuzzy relation equations with max-min and max-average composition is investigated. First, some properties of this kind of optimization problem are obtained. Then, a polynomial-time algorithm for this optimization problem is given based on these properties. Furthermore, we show that this algorithm is optimal for the considered optimization problem. Finally, numerical examples are provided to illustrate our algorithms.","PeriodicalId":294394,"journal":{"name":"2012 Eighth International Conference on Computational Intelligence and Security","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"A Kind of Nonlinear and Non-convex Optimization Problems under Mixed Fuzzy Relational Equations Constraints with Max-min and Max-average Composition\",\"authors\":\"Shuang Feng, Yingqiu Ma, Jinquan Li\",\"doi\":\"10.1109/CIS.2012.42\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a kind of nonlinear and non-convex optimization problems under the constraints expressed by a system of mixed fuzzy relation equations with max-min and max-average composition is investigated. First, some properties of this kind of optimization problem are obtained. Then, a polynomial-time algorithm for this optimization problem is given based on these properties. Furthermore, we show that this algorithm is optimal for the considered optimization problem. Finally, numerical examples are provided to illustrate our algorithms.\",\"PeriodicalId\":294394,\"journal\":{\"name\":\"2012 Eighth International Conference on Computational Intelligence and Security\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Eighth International Conference on Computational Intelligence and Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIS.2012.42\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Eighth International Conference on Computational Intelligence and Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.2012.42","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Kind of Nonlinear and Non-convex Optimization Problems under Mixed Fuzzy Relational Equations Constraints with Max-min and Max-average Composition
In this paper, a kind of nonlinear and non-convex optimization problems under the constraints expressed by a system of mixed fuzzy relation equations with max-min and max-average composition is investigated. First, some properties of this kind of optimization problem are obtained. Then, a polynomial-time algorithm for this optimization problem is given based on these properties. Furthermore, we show that this algorithm is optimal for the considered optimization problem. Finally, numerical examples are provided to illustrate our algorithms.
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