Results 161 to 170 of about 5,583 (202)

Generalized interval-valued hesitant intuitionistic fuzzy soft sets

Journal of Intelligent & Fuzzy Systems, 2021
This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft
Nazra, Admi, Asdi, Yudiantri, Wahyuni, Sisri, Ramadhani, Hafizah, Zulvera   +4 more
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Topology of interval-valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 2001
The concept of interval-valued intuitionistic fuzzy set (IVIFS) was introduced by the reviewer and \textit{G. Gargov} [Fuzzy Sets Syst. 31, No. 3, 343-349 (1989; Zbl 0674.03017)]. In the present paper one of the possible topologies over IVIFSs is defined and some of its properties are studied.
Mondal, Tapas Kumar, Samanta, S. K.
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An Interval-Valued Intuitionistic Fuzzy Rough Set Model

Fundamenta Informaticae, 2009
Given a widespread interest in rough sets as being applied to various tasks of data analysis it is not surprising at all that we have witnessed a wave of further generalizations and algorithmic enhancements of this original concept. This paper proposes an interval-valued intuitionistic fuzzy rough model by means of integrating the classical Pawlak ...
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Interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft sets and their application in decision-making

Journal of Ambient Intelligence and Humanized Computing, 2020
Although some statistical tools, such as mean and median, used for modelling a problem containing parameters or alternatives with multiple intuitionistic fuzzy values because these values are obtained in a specific period, decrease uncertainty, they lead to data loss. However, interval-valued intuitionistic fuzzy values can overcome such a concern. For
Tuğçe Aydın, Serdar Enginoğlu
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RELATING INTUITIONISTIC FUZZY SETS AND INTERVAL-VALUED FUZZY SETS THROUGH BILATTICES

Applied Computational Intelligence, 2004
In this paper, we show that bilattices are robust mathematical structures that provide a natural accommodation to, and bridge between, intuitionistic fuzzy sets and interval-valued fuzzy sets. In this way, we resolve the controversy surrounding the formal equivalence of these two models, and open up the path for a new tradition for representing ...
O. ARIELI, C. CORNELIS, G. DESCHRIJVER, E. E. KERRE   +3 more
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Correlation coefficient of interval-valued intuitionistic fuzzy sets

2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011
In this paper, we propose a new method to calculate correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in a finite set and probability space. Further, we investigate their properties and propose three numerical examples to illustrate our proposed method ...
Wenyi Zeng, Jiayin Wang
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On Interval Valued Intuitionistic Fuzzy Sets

2019
In this chapter, the basic definitions of the concepts of Interval Valued Fuzzy Sets (IVFSs) and Interval Valued Intuitionistic Fuzzy Sets (IVIFSs) will be introduced. The relation between IFSs and IVFSs will be discussed.
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Image fusion using interval-valued intuitionistic fuzzy sets

International Journal of Image and Data Fusion, 2015
The process of blending several images that are obtained from various modalities into a single composite and enhanced image is known as image fusion. In this paper, a novel way is introduced to fuse several images using interval-valued intuitionistic fuzzy sets (IVIFSs).
V. P. Ananthi, P. Balasubramaniam
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Extension theorems for interval-valued intuitionistic fuzzy sets

Journal of Discrete Mathematical Sciences and Cryptography, 2018
AbstractWe study an important paper of Bustince and Burillo to generalize their derivations. Our findings will provide some theoretical extensions for interval-valued intuitionistic fuzzy sets.
Henry Chung-Jen Chao, Cheng-Tan Tung, Chun-Hsiao Chu   +2 more
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Soft Interval-Valued Intuitionistic Fuzzy Rough Sets

2015
The vagueness or the representation of imperfect knowledge has been a problem for a long time for the mathematicians. There are many mathematical tools for dealing with uncertainties; some of them are fuzzy set theory, rough set theory, and soft set theory.
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