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Membership function
About: Membership function is a research topic. Over the lifetime, 15795 publications have been published within this topic receiving 418366 citations.
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TL;DR: In this paper, a largely non-technical discussion of the acquisition of membership values in fuzzy set analyses is provided, focusing on the notion of a membership value as a random variable as a means to assess uncertainty in assignment.
Abstract: This article provides a largely nontechnical discussion of the acquisition of membership values in fuzzy set analyses. First the basic properties of a membership are discussed. Then the three common strategies of membership assignment—direct subjective assignment, indirect subjective assignment, and transformation—are critically examined in turn. Examples are used to illustrate the techniques. The connection with existing psychometric and statistical methods is particularly emphasized, focusing on the notion of a membership value as a random variable as a means to assess uncertainty in assignment.
141 citations
TL;DR: This work considers the use of these types of orthopair fuzzy sets as a basis for the system of approximate reasoning introduced by Zadeh, referred to as OPAR, and looks at the formulation of the ideas of possibility and certainty using these orthop air fuzzy sets.
141 citations
TL;DR: F fuzzy set theory is applied to solve the inadequacy of the conventional probability in accounting and processing of built-in uncertainties in the probabilistic data via non-linear programming techniques where the commercial packages are available to use.
140 citations
TL;DR: In this paper, a hybrid flower pollination algorithm (HFPA) and a fuzzy selection index (FSI) were used to solve the problem of dynamic multi-objective optimal dispatch (DMOOD) for wind-thermal system.
140 citations
TL;DR: Proposed method provides justifiable fuzzy cause and effect relationships with approximate fuzzy arithmetic and can analyze across quadrants phenomenon under uncertain environment, since decision-makers usually want to accurately estimate uncertain influential factors.
Abstract: This study develops the approximate fuzzy Decision Making Trial and Evaluation Laboratory (AFDEMATEL) to analyze uncertain influential factors. The approximate fuzzy arithmetic operations under the weakest t-norm (Tω) arithmetic operations to evaluate sustainable supply chain management based on AFDEMATEL. The fuzzy DEMATEL is one of important decision-making method under uncertain environment. The fuzzy DEMATEL had to be developed for clearly display expert’s options with linguistic variables. The fuzzy operations usually adopt α-cut arithmetic in fuzzy DEMATEL. In this research, the fuzzy DEMATEL technology is substituted with the AFDEMATEL technology. In the sustainable supply chain management example, the AFDEMATEL is employed to find fuzzy cause and effect relationships among criteria. Particular note should be made of the following: [1] the fuzzy DEMATEL with α-cut arithmetic model cannot exactly handle fuzzy cause and effect relationships under uncertain environment, and the fuzziness accumulation phenomenon of the α-cut arithmetic may influence final fuzzy cause and effect relationships; and [2] the approximate fuzzy arithmetic operations gives a justifiable fuzziness spread to analyze fuzzy cause and effect relationships. In the case of selection of cans suppliers, the AFDEMATEL examines the influential factors. Proposed method provides justifiable fuzzy cause and effect relationships with approximate fuzzy arithmetic and can analyze across quadrants phenomenon under uncertain environment, since decision-makers usually want to accurately estimate uncertain influential factors.
140 citations