Topic
Fuzzy number
About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.
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TL;DR: The fuzzy analytic hierarchy process (AHP) method is proposed to evaluate the work safety in hot and humid environments and demonstrates the engineering practicability and effectiveness of this method in extreme environment evaluation.
308 citations
TL;DR: This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables, and a type of law of large numbers is proved.
Abstract: Fuzzy random variable has been defined in several ways in literature. This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables. Some properties concerning the measurability of fuzzy random variable are also discussed. In addition, the concept of independent and identically distributed fuzzy random variables is introduced. Finally, a type of law of large numbers is proved.
308 citations
TL;DR: A fuzzy FMEA based on fuzzy set theory and VIKOR method is proposed for prioritization of failure modes, specifically intended to address some limitations of the traditional FMEa.
Abstract: Failure mode and effects analysis (FMEA) is a widely used risk assessment tool for defining, identifying, and eliminating potential failures or problems in products, process, designs, and services In traditional FMEA, the risk priorities of failure modes are determined by using risk priority numbers (RPNs), which can be obtained by multiplying the scores of risk factors like occurrence (O), severity (S), and detection (D) However, the crisp RPN method has been criticized to have several deficiencies In this paper, linguistic variables, expressed in trapezoidal or triangular fuzzy numbers, are used to assess the ratings and weights for the risk factors O, S, and D For selecting the most serious failure modes, the extended VIKOR method is used to determine risk priorities of the failure modes that have been identified As a result, a fuzzy FMEA based on fuzzy set theory and VIKOR method is proposed for prioritization of failure modes, specifically intended to address some limitations of the traditional FMEA A case study, which assesses the risk of general anesthesia process, is presented to demonstrate the application of the proposed model under fuzzy environment
307 citations
TL;DR: It is shown how a small number of linguistically interpretable fuzzy rules can be extracted from numerical data for high-dimensional pattern classification problems and two genetic-algorithm-based approaches are shown.
307 citations
TL;DR: A novel similarity measure for PFNs is presented, and some desirable properties are discussed, and a simple and effective Pythagorean fuzzy group decision method is introduced to address the selection problem of photovoltaic cells.
Abstract: The Pythagorean fuzzy set, as a new extension of intuitionistic fuzzy set, has recently been developed to manage the complex uncertainty in practical group decision problems. The purpose of this article is to develop a new decision method based on similarity measure to address multiple criteria group decision making problems within Pythagorean fuzzy environment based on Pythagorean fuzzy numbers PFNs. The contribution of this article is fivefold: 1 An accuracy function of PFNs is defined and a new ranking method for PFNs is proposed; 2 new Pythagorean fuzzy aggregating operators are developed; 3 a novel similarity measure for PFNs is presented, and some desirable properties are discussed; 4 a simple and effective Pythagorean fuzzy group decision method is introduced; and 5 The proposed method is applied to address the selection problem of photovoltaic cells.
307 citations