Journal ArticleDOI
A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets
Dongrui Wu,Jerry M. Mendel +1 more
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TLDR
A new ranking method and a new similarity measure for IT2 FSs are proposed and the results are useful in understanding the uncertainties associated with linguistic terms and hence how to use them effectively in survey design and linguistic information processing.About:
This article is published in Information Sciences.The article was published on 2009-03-20. It has received 342 citations till now. The article focuses on the topics: Ranking SVM & Similarity measure.read more
Citations
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Distance and similarity measures for hesitant fuzzy sets
Zeshui Xu,Meimei Xia +1 more
TL;DR: A variety of distance measures for hesitant fuzzy sets are proposed, based on which the corresponding similarity measures can be obtained and can alleviate the influence of unduly large deviations on the aggregation results by assigning them low (or high) weights.
Journal ArticleDOI
Enhanced Interval Approach for Encoding Words Into Interval Type-2 Fuzzy Sets and Its Convergence Analysis
TL;DR: This paper proposes an enhanced interval approach (EIA) and demonstrates its performance on data that are collected from a web survey and shows that the EIA converges in a mean-square sense and generally, 30 data intervals seem to be a good compromise between cost and accuracy.
Journal ArticleDOI
An interval type-2 fuzzy TOPSIS model for large scale group decision making problems with social network information
Tong Wu,Xinwang Liu,Fang Liu +2 more
TL;DR: A new interval type-2 fuzzy TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) model is proposed to solve LGDM problems in complex and uncertain environments.
Journal ArticleDOI
On KM Algorithms for Solving Type-2 Fuzzy Set Problems
TL;DR: This tutorial paper focuses on the research that has been conducted to improve the Karnik-Mendel (KM) algorithms, understand the KM algorithms, leading to further improved algorithms, and eliminate the need for KM algorithms.
Journal ArticleDOI
Computing With Words for Hierarchical Decision Making Applied to Evaluating a Weapon System
Dongrui Wu,Jerry M. Mendel +1 more
TL;DR: Novel weighted averages are proposed in this paper as a CWW engine in the Per-C to aggregate diverse inputs and uncertainties associated with these inputs can be preserved and are propagated into the final evaluation.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Book
Fuzzy Sets and Fuzzy Logic: Theory and Applications
George J. Klir,Bo Yuan +1 more
TL;DR: Fuzzy Sets and Fuzzy Logic is a true magnum opus; it addresses practically every significant topic in the broad expanse of the union of fuzzy set theory and fuzzy logic.
Book
Fuzzy Sets, Uncertainty and Information
George J. Klir,Tina A. Folger +1 more
TL;DR: The fuzzy sets uncertainty and information is one book that the authors really recommend you to read, to get more solutions in solving this problem.