| 广义拟Sugeno模糊积分的确界式等价表示 |
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| 引用本文： | 李艳红. 广义拟Sugeno模糊积分的确界式等价表示[J]. 浙江大学学报(理学版), 2014, 41(2): 127-131. DOI: 10.3785/j.issn.1008-9497.2014.02.002 |
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| 作者姓名： | 李艳红 |
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| 作者单位： | 辽东学院 |
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| 基金项目： | 国家自然科学基金资助项目(61374009) |
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| 摘 要： | 通过减弱公理化条件给出新拟乘算子, 并按照拟乘运算针对实函数正(负)部建立了广义拟Sugeno模糊积分. 依据演化的确界概念获得了该积分的3种表达形式, 并给出了其等价表示及其证明. 最后, 通过实例验证了该广义拟Sugeno模糊积分3种等价表示的正确性.
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| 关 键 词： | 拟乘法算子 上确界 广义拟Sugeno模糊积分 |
| 收稿时间： | 2012-12-22; |
Equivalent representations of generalized quasi-Sugeno fuzzy integral in supremum forms |
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| LI Yanhong. Equivalent representations of generalized quasi-Sugeno fuzzy integral in supremum forms[J]. Journal of Zhejiang University(Sciences Edition), 2014, 41(2): 127-131. DOI: 10.3785/j.issn.1008-9497.2014.02.002 |
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| Authors: | LI Yanhong |
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| Affiliation: | LI Yanhong (Department of Mathematics, Teacher＇s College, Easten Liaoning University, Dandong 118003, Liaoning Province, China) |
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| Abstract: | A new quasi-multiplication operator is given by weakening the axiomatic conditions, and the generalized quasi Sugeno fuzzy integrals with respect to positive and negative parts of a real function is established by the quasi- multiplication operation. In addition, the three kinds of expressions of the fuzzy integral are obtained based on con- cept of the evolutive supremum, and the equivalences and its proofs are given in theory. Finally, the correctness of the three kinds of expressions of the generalized quasi-Sugeno fuzzy integral are verified by an example. |
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| Keywords: | quasi-multiplication operator supremum generalized quasi-Sugeno fuzzy integrals |
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