| E-广义凸直觉模糊集 |
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| 引用本文： | 李选海,刘锋,范传强.E-广义凸直觉模糊集[J].佳木斯大学学报,2014(4):617-618,621. |
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| 作者姓名： | 李选海 刘锋 范传强 |
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| 作者单位： | [1]海军大连舰艇学院基础部,辽宁大连116018 [2]东北大学系统科学研究所,辽宁沈阳110004 [3]辽宁石油化工大学理学院,辽宁抚顺113001 |
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| 摘 要： | 凸集及其性质是最优化领域的一个重要研究课题.同样,凸模糊集也是模糊数学中研究的一个热点.本文通过将E-广义凸模糊集、凹模糊集和凸直觉模糊集相结合,定义了E-广义凹模糊集和E-广义凸直觉模糊集,并根据定义对它们的基本性质做了研究,从而推广了凸模糊集和反凸模糊集,并且引出一个相对较新的研究方向和领域.
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| 关 键 词： | 凹模糊集 凸直觉模糊集 E-广义凸模糊集 E-广义凹模糊集 E-广义凸直觉模糊集 |
E -generalized Convex Intuitionistc Fuzzy Set |
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| LI Xuan-hai,LIU Feng,FAN Chuan-qiang.E -generalized Convex Intuitionistc Fuzzy Set[J].Journal of Jiamusi University(Natural Science Edition),2014(4):617-618,621. |
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| Authors: | LI Xuan-hai LIU Feng FAN Chuan-qiang |
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| Institution: | 1. Dept. of Basic Sdences, Dalian Naval Academy, Dalian 116018, China; 2. Institute of Systems Science, Northeastern University, Shenyang 110004, China; 3. School of Sciences, Liaoning University of Petroleum ＆ Chemical Technology, Fushun 113001, China) |
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| Abstract: | The convex set and its properties are important research topics in the area of optimization .Similarly, the convex fuzzy set is a hot spot in fuzzy mathematics .The definitions of E-generalized concave fuzzy set and E-generalized convex intuitionistc fuzzy set were given by combining with E -generalized convex fuzzy set.Concave fuzzy set and convex intuitionistc fuzzy set in the related references , and some fundamental properties of E-generalized concave fuzzy set and E -generalized convex intuitionistc fuzzy set were discussed in this paper, which expands the E-generalized convex fuzzy set and leads to a relatively new research direction and field. |
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| Keywords: | concave fuzzy set convex intuitionistc fuzzy set E-generalized convex fuzzy set E-gen-eralized concave fuzzy set E-generalized convex Intuitionistc fuzzy set |
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