Topic
Fuzzy number
About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: The objective of this paper is to deal with a kind of fuzzy linear programming problem involving symmetric trapezoidal fuzzy numbers and some important and interesting results are obtained which in turn lead to a solution of fuzzylinear programming problems without converting them to crisp linear programming problems.
Abstract: The objective of this paper is to deal with a kind of fuzzy linear programming problem involving symmetric trapezoidal fuzzy numbers. Some important and interesting results are obtained which in turn lead to a solution of fuzzy linear programming problems without converting them to crisp linear programming problems.
207 citations
Journal Article•
TL;DR: In this article, the reliability of each system component is represented by a triangular fuzzy number, and the proposed method uses simplified fuzzy arithmetic operations of fuzzy numbers rather than the complicated interval arithmetic operations.
207 citations
TL;DR: New methods are presented in which simplified fuzzy number arithmetic operations are used for subjective mental workload assessment and fuzzy risk analysis and can provide useful ways to handle subjectivemental workload assessment problems and fuzzyrisk analysis problems.
Abstract: This paper presents new methods for subjective mental workload assess ment and fuzzy risk analysis in which simplified fuzzy number arithmetic operations are used for subjective mental workload assessment and fuzzy risk analysis The proposed methods can provide useful ways to handle subjective mental workload assessment problems and fuzzy risk analysis problems
207 citations
TL;DR: It is proved that finding all of the real solutions which satisfy in a system with interval coefficients is NP-hard, and some heuristics based methods on Dubois and Prade’s approach are employed, finding some positive fuzzy vector x which satisfies A ˜ x ˜ = b ˜, where A and b are a fuzzy matrix and a fuzzy vector respectively.
207 citations
TL;DR: The main contribution of this paper is that the definition, conversion, and treatment of vague and complex multi-level criteria as set memberships under the fuzzy set theory are employed to develop a practical model for business purpose.
206 citations