Results 71 to 80 of about 1,983 (196)

Intuitionistic Fuzzy Topological Polygroups

International Journal of Analysis and Applications, 2016
The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. Intuitionistic fuzzy topological spaces were introduced by Coker. This paper provides a new connection between algebraic hyperstructures and intuitionistic fuzzy sets.
N. Abbasizadeh, B. Davvaz
openaire   +2 more sources

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

Journal 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, Latha Mani, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Ghous Ali   +4 more
wiley   +1 more source

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

Journal 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, Tareq M. Al-Shami, Chiranjibe Jana   +2 more
wiley   +1 more source

Intuitionistic Interval-Valued Fuzzy Topological Spaces

Journal of Korean Institute of Intelligent Systems, 2012
By using the concept of intuitionistic interval-valued fuzzy sets, we introduce the notion of intuitionistic interval-valued fuzzy topology. And we study some fundamental properties or intuitionistic interval-valued fuzzy topological spaces: First, we obtain analogues[see Theorem :3.11 and :3.121 of neighborhood systems in ordinary topological spaces ...
Pyung-Ki Lim, Sun-Ho Kim, Kul Hur
openaire   +2 more sources

Improving the Efficiency of Fuzzy Graphs and Their Complements Using Some Influencing Parameters

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study focuses on constructing optimal network structures for fuzzy graph (FG) products. In graph theory, the complement of a FG product is essential since it analyses alternate interactions between the vertices. Such a complement is used to represent situations in which specific connections are deliberately excluded, which helps to understand ...
A. Meenakshi, J. Shivangi Mishra, Hong Qin, Muniyandy Elangovan, Tareq Al-Shami   +4 more
wiley   +1 more source

On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets

Cumhuriyet 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

A fixed fuzzy point for fuzzy mapping in complete metric spaces [PDF]

, 2005
In this paper, we prove a fixed fuzzy point theorem for fuzzy mappings over a complete metric ...
B. E. Rhoades, D. Turkoglu
core  

Bipolar Theorem and Some of Its Applications in Fuzzy Quasi‐Normed Space

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The classical bipolar theorem plays an important role in functional analysis. This paper generalizes this theorem to fuzzy quasi‐normed spaces, which include asymmetric normed space and fuzzy normed space as special cases. First, the concept of the asymmetric polar of a subset is introduced in the fuzzy quasi‐normed space, its basic properties, such as
Jianrong Wu, Lei Hua, Zhenyu Jin, Ömer Kişi   +3 more
wiley   +1 more source

Completeness of a Hypersequent Calculus for Some First-order Gödel Logics with Delta [PDF]

, 2006
All first-order Gödel logics G_V with globalization operator based on truth value sets V C [0,1] where 0 and 1 lie in the perfect kernel of V are axiomatized by Ciabattoni’s hypersequent calculus ...
Baaz, Matthias, Preining, Norbert, Zach, Richard   +2 more
core  

Investigating Signless Laplacian Spectra and Network Topology in Helical Phenylene‐Quadrilateral Structures

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif, Ali Raza, Md. Shajib Ali, Pramita Mishra   +3 more
wiley   +1 more source