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: In this article, the main critical problem that naturally arises in processing Z-number-based information is computation with Z-numbers, which is a more adequate concept for description of real-world information.
234 citations
TL;DR: This paper presents an edge-detection method that is based on the morphological gradient technique and generalized type-2 fuzzy logic that was tested with benchmark images and synthetic images and used the merit of Pratt measure to illustrate the advantages of using generalizedtype- 2 fuzzy logic.
Abstract: This paper presents an edge-detection method that is based on the morphological gradient technique and generalized type-2 fuzzy logic The theory of alpha planes is used to implement generalized type-2 fuzzy logic for edge detection For the defuzzification process, the heights and approximation methods are used Simulation results with a type-1 fuzzy inference system, an interval type-2 fuzzy inference system, and with a generalized type-2 fuzzy inference system for edge detection are presented The proposed generalized type-2 fuzzy edge-detection method was tested with benchmark images and synthetic images We used the merit of Pratt measure to illustrate the advantages of using generalized type-2 fuzzy logic
233 citations
TL;DR: A new concept of the optimization problem under uncertainty is proposed and illustrated with a simple numerical example that converts the introduced intuitionistic fuzzy optimization (IFO) problem into the crisp (non-fuzzy) one.
233 citations
TL;DR: This paper discusses the mathematical relationship between intuitionistic fuzzy sets and other models of imprecision.
232 citations
TL;DR: An optimization model based on the negative ideal solution and max-min operator, by which the attribute weights can be determined, is established and utilization of the interval-valued intuitionistic fuzzy weighted averaging operator proposed by Xu is utilized.
Abstract: With respect to multiple attribute decision-making problems with interval-valued intuitionistic fuzzy information, some operational laws of interval-valued intuitionistic fuzzy numbers, correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets are introduced. An optimization model based on the negative ideal solution and max-min operator, by which the attribute weights can be determined, is established. We utilize the interval-valued intuitionistic fuzzy weighted averaging operator proposed by Xu (Control Decis 22(2):215–219, 2007) to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one(s) according to the correlation coefficient. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
232 citations