Results 61 to 70 of about 304 (188)

On neutrosophic sets and topology

open access: yes, 2016
Recently, F.Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author defined the notion of neutrosophic topology on the non-standard interval.
Gallego Lupiáñez, Francisco   +1 more
core   +1 more source

INTRODUCTION TO NEUTROSOPHIC MEASURE, NEUTROSOPHIC INTEGRAL, AND NEUTROSOPHIC PROBABILITY [PDF]

open access: yes, 2011
Neutrosophic Science means development and applications of neutrosophic logic/set/measure/integral/probability etc.
Smarandache, Florentin
core   +1 more source

Some Novel Fixed‐Point Results in Neutrosophic Soft Metric Space With Application in Decision‐Making to Select the Optimal Adsorbent

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this research paper, the concepts of compatible maps and maps of type α¯ and (β¯) within the framework of neutrosophic soft metric spaces (NSMS) are established. The interconnections between α¯‐ and (β¯)‐type maps are also clarified. Additionally, the notions of R‐weakly commuting and weakly commuting mappings in NSMS are introduced. A proof for the
Vishal Gupta   +3 more
wiley   +1 more source

Categorical Aspects of Intuitionistic Fuzzy Topological Spaces

open access: yesThe International Journal of Fuzzy Logic and Intelligent Systems, 2015
In this paper, we obtain two types of adjoint functors between the category of intuitionistic fuzzy topological spaces in Mondal and Samanta’s sense, and the category of intuitionistic fuzzy topological spaces in ?ostak’s sense. Also, we reveal that the category of Chang’s fuzzy topological spaces is a bireflective full subcategory of the category of ...
Jin Tae Kim, Seok Jong Lee
openaire   +2 more sources

Some recent results on Atanassov's intuitionistic fuzzy topological spaces

open access: yes, 2008
We show here some of our results on intuitionistic fuzzy topological spaces. In 1983, K.T. Atanassov proposed a generalization of the notion of fuzzy set: the concept of intuitionistic fuzzy set. D.
Gallego Lupiáñez, Francisco
core   +1 more source

On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets

open access: yesCumhuriyet Science Journal
In this study, some algebraic properties of intuitionistic fuzzy parameter soft (IFPS) which combining the strengths of intuitionistic fuzzy sets and parameterized soft set theory, are given with examples.
Serkan Atmaca, Bünyamin Elturan
doaj   +1 more source

Fuzzy Computational Analysis of Fuzzy Tadpole Graph

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we explore the application of fuzzy topological indices to the fuzzy tadpole graph TA,B, a hybrid structure that combines the cyclic and path‐like components within a fuzzy framework. We compute and analyze several key fuzzy indices, including the fuzzy Zagreb indices, fuzzy Randić index, fuzzy Harmonic index, fuzzy Sombor index, fuzzy ...
Shama Liaqat   +3 more
wiley   +1 more source

Neutrosophic Local Function and Generated Neutrosophic Topology

open access: yes, 2020
In this paper we introduce the notion of ideals on neutrosophic set which is considered as a generalization of fuzzy and fuzzy intuitionistic ideals studies in [9,11] , the important topological neutrosophic ideals has been given in [4].
Salama, A. A., Smarandache, Florentin
core   +2 more sources

A Novel Approach to Crop Cultivation via Bipolar Interval‐Valued Intuitionistic Fuzzy Bidirectional Projection Measure

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce a bipolar interval‐valued intuitionistic fuzzy (BIVIF) norm, projection, and bidirectional projection measure within the framework of BIVIF topological spaces. These tools enable us to handle ambiguity with greater accuracy, calculate relationships between sets more effectively, and make rational decisions in uncertain ...
Suganya Manivannan   +4 more
wiley   +1 more source

Investigating Novel Types of Coincidence and Quasi‐Coincidence Relations and Studying Equivalent Intuitionistic Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we modify the definition of intuitionistic fuzzy points so that the definition is concise, generalizes fuzzy points, and excludes 0˜. We establish new forms of relations between intuitionistic fuzzy sets and demonstrate that every quasi‐coincidence relation is coincidence.
S. M. Elsayed   +2 more
wiley   +1 more source

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