基于凸面单形体的Vague集向Fuzzy集转化模型

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Abstract Making use of a corresponding relation between Vague sets and the three triangles within a same plane of convex simplex, a simplex geometric expression is presented for Vague sets and transforming them into Fuzzy sets. It effectively solves the problem of geometric interpretation in methods or models for transforming Vague sets into Fuzzy sets. A simplex transformation model(S-TM) is proposed for transforming Vague sets into Fuzzy sets, and the corresponding transformation rules are also presented. Compared with the existing transformation methods or models, the proposed S-TM is more effective and visualized in geometric expression, and more explicit and determinate in geometric interpretation. Comparative results show that transforming Vague sets into Fuzzy sets is fuzzy and gradual.

Key words： Vague Set Fuzzy Set Simplex Transformation Model(S-TM) Transformation Rule Convex Simplex

Received: 03 December 2010

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	WEI Bo
	PENG Jun-Huan
	YANG Hong-Lei

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WEI Bo,PENG Jun-Huan,YANG Hong-Lei. Model for Transforming Vague Sets into Fuzzy Sets Based on Convex Simplex[J]. , 2012, 25(3): 426-434.

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http://manu46.magtech.com.cn/Jweb_prai/EN/ OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2012/V25/I3/426

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