Results 41 to 50 of about 1,991 (192)
A Study of Frontier and Semifrontier in Intuitionistic Fuzzy Topological Spaces
Notions of frontier and semifrontier in intuitionistic fuzzy topology have been studied and several of their properties, characterizations, and examples established.
Athar Kharal
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Hidden modalities in algebras with negation and implication [PDF]
Lukasiewicz 3-valued logic may be seen as a logic with hidden truthfunctional modalities de ned by A := :A ! A and A := :(A ! :A). It is known that axioms (K), (T), (B), (D), (S4), (S5) are provable for these modalities, and rule (RN) is admissible. We
Järvinen, Jouni +3 more
core +1 more source
Covering properties in intuitionistic fuzzy topological spaces [PDF]
PurposeD.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spaces, and obtain several preservation properties.Design/methodology/approachTwo new covering properties in ...
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Separation Axioms in Intuitionistic Fuzzy Topological Spaces
In this paper we have studied separation axiomsTi,i=0,1,2in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functorsℬ:IF-Top→BF-Topand𝒟:BF-Top→IF-Topand observe that𝒟is left adjoint toℬ.
Amit Kumar Singh, Rekha Srivastava
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A Neutrosophic Set‐Based Active Contour Model for Medical Image Segmentation
We propose a neutrosophic set‐based active contour model for accurate and efficient segmentation of magnetic resonance (MR) and retinal images. By combining neutrosophic truth, falsity, and indeterminacy subsets with a Heaviside‐based level set formulation, the method robustly handles noise, intensity inhomogeneity, and weak edges.
Kazım Hanbay
wiley +1 more source
Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
Obtaining contradiction measure on intuitionistic fuzzy sets from fuzzy connectives [PDF]
In a previous paper, we proposed an axiomatic model for measuring self-contradiction in the framework of Atanassov fuzzy sets. This way, contradiction measures that are semicontinuous and completely semicontinuous, from both below and above, were ...
Castiñeira Holgado, Elena +2 more
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In this paper, utilizing the concept of neutrosophic metric spaces proposed by Kirisci and Simsek, we establish a fixed point theorem of Edelstein type within this framework. A numerical example is provided to illustrate the validity of the main result. Furthermore, we present an application to a general SIR‐type epidemic model.
Vishal Gupta +3 more
wiley +1 more source
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan +5 more
wiley +1 more source
Covering-Based Rough Fuzzy, Intuitionistic Fuzzy and Neutrosophic Nano Topology and Applications
In recent years, “mathematical orientations on real-life problems”, which continue to increase, began to make a significant impact. Information systems for many decision-making problems consist of uncertain, incomplete, indeterminate and ...
Mohammed A. Al Shumrani +3 more
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