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Neutrosophic Set and Neutrosophic Topological Spaces
IOSR Journal of Mathematics, 2012 Neutrosophy has been introduced by Smarandache as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others.
A.A.Salama, S.A.Alblowi
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Theory and Applications of Fermatean Neutrosophic Graphs [PDF]
Neutrosophic Sets and Systems, 2022 Yager et. al. defined a q-rung orthopair fuzzy sets as a new general class of Pythagorean fuzzy set in which the sum of the qth power of the support for and support against is bonded by one. Tapan et. al. extended the concept of intuitionistic fuzzy sets
Said Broumi +4 more
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Complex & Intelligent Systems, 2020 The single-valued neutrosophic set (SVNS) is a well-known model for handling uncertain and indeterminate information. Information measures such as distance measures, similarity measures and entropy measures are very useful tools to be used in many ...
Jiajia Chai +6 more
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Intuitionistic fuzzy-valued neutrosophic multi-sets and numerical applications to classification
Complex & Intelligent Systems, 2022 A single-valued neutrosophic multi-set is characterized by a sequence of truth membership degrees, a sequence of indeterminacy membership degrees and a sequence of falsity membership degrees.
M. Ünver +4 more
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Novel Open Source Python Neutrosophic Package [PDF]
Neutrosophic Sets and Systems, 2019 Neutrosophic sets has gained wide popularity and acceptance in both academia and industry. Different fields have successfully adopted and utilized neutrosophic sets.
Haitham A. El-Ghareeb
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A Total Ordering on n-Valued Refined Neutrosophic Sets using Dictionary Ranking based on Total ordering on n - Valued Neutrosophic Tuplets [PDF]
Neutrosophic Sets and Systems, 2023 The notion of fuzzy subsets was first introduced by Zadeh in 1965, and was later extended to intuitionistic fuzzy subsets by Atanassov in 1983. Since the inception of fuzzy set theory, we have encountered a number of generalizations of sets, one of which
V. Lakshmana Gomathi Nayagam +1 more
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International Journal of Intelligent Systems, 2020 The 2‐tuple linguistic neutrosophic set (2TLNS) does a good job in coping with vague and uncertain environments and has been widely used in numerous fields.
Mengwei Zhao +4 more
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Neutrosophic Closed Set And Neutrosophic Continuous Functions
Neutrosophic Sets and Systems, 2014 In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.
A. A. Salama +2 more
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On Neutrosophic αψ-Closed Sets [PDF]
Information, 2018 The aim of this paper is to introduce the concept of α ψ -closed sets in terms of neutrosophic topological spaces. We also study some of the properties of neutrosophic α ψ -closed sets. Further, we introduce continuity and contra continuity for the introduced set.
Parimala Mani +3 more
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Interval neutrosophic sets and topology [PDF]
Kybernetes, 2009 PurposeIn 2005, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs), which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non‐standard interval is also due to Smarandache.
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