Journal ArticleDOI
Generation of linear orders for intervals by means of aggregation functions
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TLDR
This work proposes a method to build admissible orders in terms of two aggregation functions and proves that some of the most used examples of total orders that appear in the literature are specific cases of this construction.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2013-06-01. It has received 280 citations till now. The article focuses on the topics: Interval order & Fuzzy set.read more
Citations
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Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations. Application to decision making
TL;DR: With this construction method, it is proved that membership intervals of equal length to the ignorance associated to the elements are obtained when the product t-norm and the probabilistic sum t-conorm are used.
Journal ArticleDOI
An ELECTRE I-based multi-criteria group decision making method with interval type-2 fuzzy numbers and its application to supplier selection
Lin Zhong,Liming Yao +1 more
TL;DR: The elimination and choice translating reality method is extended using interval type-2 fuzzy numbers for more effective multi-criteria group decision-making under an uncertain environment and the feasibility and applicability of the proposed method are detailed.
Journal ArticleDOI
A Dynamic Weight Determination Approach Based on the Intuitionistic Fuzzy Bayesian Network and Its Application to Emergency Decision Making
TL;DR: This work develops an intuitionistic fuzzy Bayesian network to obtain the practical attribute weights under uncertain environment and develops a dynamic decision making approach integrating the prospect theory to solve the risk decision making problems.
Journal ArticleDOI
Consistency of the fused intuitionistic fuzzy preference relation in group intuitionistic fuzzy analytic hierarchy process
Huchang Liao,Zeshui Xu +1 more
TL;DR: A new type of aggregation operator, namely, simple intuitionistic fuzzy weighted geometric (SIFWG) operator, is developed to synthesize individual IFPRs and it is proved that for traditional comparison matrices, if all individual comparisonMatrices are of acceptable consistency, then their weighted geometric mean complex judgment matrix is ofacceptable consistency.
Journal ArticleDOI
Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making
L. De Miguel,Humberto Bustince,Javier Fernández,Esteban Induráin,Anna Kolesárová,Radko Mesiar +5 more
TL;DR: This work introduces a method for constructing linear orders between pairs of intervals by using aggregation functions and adapts this method to the case of interval-valued Atanassov intuitionistic fuzzy sets and applies it to a decision making problem where other fuzzy approaches do not lead to a unique solution.
References
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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.
Journal ArticleDOI
Some geometric aggregation operators based on intuitionistic fuzzy sets
Zeshui Xu,Ronald R. Yager +1 more
TL;DR: This paper develops some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionists fuzzy ordered weighted geometric(IFOWG)operator, and the intuitionism fuzzy hybrid geometric (ifHG) operators, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzz sets.
Book
Fuzzy Preference Modelling and Multicriteria Decision Support
János Fodor,Marc Roubens +1 more
TL;DR: This dissertation aims to provide a history of web exceptionalism from 1989 to 2002, a period chosen in order to explore its roots as well as specific cases up to and including the year in which descriptions of “Web 2.0” began to circulate.
Book
Fuzzy sets and systems
TL;DR: Fuzzy sets as mentioned in this paper are a class of classes in which there may be grades of membership intermediate between full membership and non-membership, i.e., a fuzzy set is characterized by a membership function which assigns to each object its grade of membership.