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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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.
Journal ArticleDOI
An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment
TL;DR: The TODIM (an acronym in Portuguese of interactive and multi-criteria decision making) technique is extended to solve MCGDM problems within the context of interval type-2 fuzzy sets (IT2FSs) and presented its application to green supplier selection problem.
Journal ArticleDOI
Hesitant Fuzzy Sets: State of the Art and Future Directions
TL;DR: An overview on hesitant fuzzy sets is presented with the aim of providing a clear perspective on the different concepts, tools and trends related to this extension of fuzzy sets.
Journal ArticleDOI
A Historical Account of Types of Fuzzy Sets and Their Relationships
Humberto Bustince,Edurne Barrenechea,Miguel Pagola,Javier Fernández,Zeshui Xu,Benjamin Bedregal,Javier Montero,Hani Hagras,Francisco Herrera,Bernard De Baets +9 more
TL;DR: The definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature are reviewed and the relationships between them are analyzed.
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A position and perspective analysis of hesitant fuzzy sets on information fusion in decision making. Towards high quality progress
Rosa M. Rodríguez,Benjamin Bedregal,Humberto Bustince,Yucheng Dong,Bahram Farhadinia,Cengiz Kahraman,Luis Martínez,Vicenç Torra,Yejun Xu,Zeshui Xu,Francisco Herrera +10 more
TL;DR: This position paper studies the necessity of hesitant fuzzy sets and provides a discussion about current proposals including a guideline that the proposals should follow and some challenges of HFSs.
References
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Journal ArticleDOI
A genetic tuning to improve the performance of Fuzzy Rule-Based Classification Systems with Interval-Valued Fuzzy Sets: Degree of ignorance and lateral position
TL;DR: The results show empirically that the use of the methodology outperforms the initial Fuzzy Rule-Based Classification System and also improves the behavior of the genetic tuning based on the 3-tuples fuzzy linguistic representation.
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Aggregation functions on bounded partially ordered sets and their classification
Magda Komorníková,Radko Mesiar +1 more
TL;DR: Several classes of aggregation functions on bounded partially ordered sets and special cases of lattices and chains are introduced and discussed, including several types of averaging aggregation functions.
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Consensus in multi-expert decision making problems using penalty functions defined over a Cartesian product of lattices
TL;DR: This paper introduces an algorithm to aggregate the preference relations provided by experts in multi-expert decision making problems and presents a generalization of the concepts of restricted dissimilarity function and distance between sets for the case where the experts are working with a Cartesian product of lattices.
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Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images
TL;DR: A novel approach to represent images by means of interval-valued fuzzy sets that show a better overall behavior, providing more accurate correspondences, mainly near depth discontinuities and for images with a large amount of color.
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A class of aggregation functions encompassing two-dimensional OWA operators
Humberto Bustince,Tomasa Calvo,B. De Baets,János Fodor,Radko Mesiar,Javier Montero,Daniel Paternain,Ana Pradera +7 more
TL;DR: It is proved that, under suitable conditions, Atanassov's K"@a operators, which act on intervals, provide the same numerical results as OWA operators of dimension two, and it is shown that if the authors apply these aggregation functions to interval-valued fuzzy sets, they obtain an ordered family of fuzzy sets.