Transforming Model from Vague Set to Fuzzy Set Based on the DWCO Operator

Abstract:

In the research on transforming vague set to fuzzy set, it is the key question to carry on the judgment to the vague-degree's tendentiousness. Vague set's vague-degree expresses one kind of indefinite degree, therefore the question transforming vague set to fuzzy set may regard as the venture decision under the definite condition. When the policy-maker carries on the venture decision, the policy-maker's risk preferences decided by the subjective and objective condition is a very essential policy-making parameter. In this paper, introduce the risk-income balancing weight into the transforming model, thus enable reflect the policy-maker's risk preferences well in the transforming result. In addition, decompose the value of fuzzy set's membership degree into the following two parts: the value of vague set's real membership degree, the weighting sum of the risk value and the tendency value.

• Periodical: Applied Mechanics and Materials (Volumes 66-68)
• Pages: 2317-2322
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.66-68.2317
• Online since: July 2011
• Authors: Chao Wang, Qi Hai Zhou, Yan Li
• Keywords: Fuzzy Set, Transforming Operator, Vague Set

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