Picture fuzzy sets - A new concept for computational intelligence problems
Bui Cong Cuong,Vladik Kreinovich +1 more
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TLDR
A new notion of picture fuzzy sets is introduced, which are directly extensions of fuzzy sets and of intuitonistic fuzzy sets (Atanassov).Abstract:
Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory, other try to handle imprecision and uncertainty in different way. In this paper, we introduce a new notion of picture fuzzy sets (PFS), which are directly extensions of fuzzy sets and of intuitonistic fuzzy sets (Atanassov). Then some operations on picture fuzzy sets are defined and some properties of these operations are considered. Here the basic preliminaries of PFS theory are presented.read more
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Picture fuzzy sets
TL;DR: The concept of picture fuzzy sets (PFS), which are direct extensions of the fuzzy sets and the intuitonistic fuzzy sets, are introduced and the basic preliminaries of PFS theory are presented.
Journal ArticleDOI
An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets
TL;DR: The concept of spherical fuzzy set (SFS) and T-spherical fuzzy set [T-SFS] is introduced as a generalization of FS, IFS and PFS and shown by examples and graphical comparison with early established concepts.
Journal ArticleDOI
DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets
TL;DR: A novel distributed picture fuzzy clustering method on picture fuzzy sets so-called DPFCM is presented and experimental results on various datasets show that the clustering quality of DP FCM is better than those of CDFCM and relevant algorithms.
Journal ArticleDOI
HIFCF: An effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis
Nguyen Tho Thong,Le Hoang Son +1 more
TL;DR: A novel hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis so-called HIFCF (Hybrid Intuitionistic Fuzzy Collaborative Filtering) is proposed, which results in better accuracy of prediction than the relevant methods constructed on either the traditional fuzzy sets or recommender system only.
Journal ArticleDOI
Spherical aggregation operators and their application in multiattribute group decision‐making
Shahzaib Ashraf,Saleem Abdullah +1 more
TL;DR: Generalized spherical aggregation operators for spherical fuzzy numbers utilizing these strict Archimedean t‐norm and t‐conorm are proposed and a decision‐making method has been established for ranking the alternatives by utilizing a spherical fuzzy environment.
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
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
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Interval-Valued Intuitionistic Fuzzy Sets
TL;DR: In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced and the majority of the proofs below are analogous to the proofs from Chapter 1.
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.
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A first course in fuzzy logic
Hung T. Nguyen,Elbert A. Walker +1 more
TL;DR: Fuzzy rule bases Design methodologies Some mathematical background Approximation capability Exercises POSSIBILITY THEORY Probability and uncertainty Random sets Possibility measures Exercised.