Results 31 to 40 of about 74 (73)

Fuzzy super irresolute functions

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2689-2700, 2003., 2003
The concept of fuzzy super irresolute function was considered and studied by Šostak's (1985). A comparison between this type and other existing ones is established. Several characterizations, properties, and their effect on some fuzzy topological spaces are studied.
S. E. Abbas
wiley   +1 more source

α‐compactness in smooth topological spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 46, Page 2897-2906, 2003., 2003
We introduce the concepts of smooth α‐closure and smooth α‐interior of a fuzzy set which are generalizations of smooth closure and smooth interior of a fuzzy set defined by Demirci (1997) and obtain some of their structural properties.
Chun-Kee Park, Won Keun Min, Myeong Hwan Kim   +2 more
wiley   +1 more source

Fuzzy properties in fuzzy convergence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 737-748, 2002., 2002
Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity.
Gunther Jäger
wiley   +1 more source

Fuzzy cγ‐open sets and fuzzy cγ‐continuity in fuzzifying topology

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 51-63, 2002., 2002
The concepts of fuzzy cγ‐open sets and fuzzy cγ‐continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
T. Noiri, O. R. Sayed
wiley   +1 more source

On I-convergence of nets of functions in fuzzy metric spaces

Open Mathematics
In this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng, Xi Wenfei, Tang Zhongbao   +2 more
doaj   +1 more source

On Covering Prosperities via Neutrosophic e‐Open Set in Neutrosophic Topological Space

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research presents and explores a novel category of compactness in neutrosophic topological spaces (NTSs), termed neutrosophic e‐compact and neutrosophic locally e‐compact. This category is positioned within the frameworks of neutrosophic δ‐semicompactness and neutrosophic δ‐precompactness, while also encompassing neutrosophic β‐compactness.
Wadei Al-Omeri, Ammar Alsinai
wiley   +1 more source

Fuzzy neighborhood structures on partially ordered groups

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 359-365, 2002., 2002
Ahsanullah (1988) showed the compatibility between group structures and I‐fuzzy neighborhood systems. In this paper, we require not only that the I‐fuzzy neighborhood systems be compatible with the group structures, but also compatible with the order relation, in one sense or another.
Kamel El-Saady, M. Y. Bakier
wiley   +1 more source

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

On generalized fuzzy strongly semiclosed sets in fuzzy topological spaces

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 651-657, 2002., 2002
We introduce the concept of generalized fuzzy strongly semiclosed, generalized fuzzy almost‐strongly semiclosed, generalized fuzzy strongly closed, and generalized fuzzy almost‐strongly closed sets. In the light of these definitions, we also define some generalizations of fuzzy continuous functions and discuss the relations between these new classes of
Oya Bedre Ozbakir
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