Results 21 to 30 of about 32 (32)

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

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

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

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

Bounded solutions for fuzzy integral equations

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 109-114, 2002., 2002
We study conditions under which the solutions of a fuzzy integral equation are bounded.
D. N. Georgiou, I. E. Kougias
wiley   +1 more source

Fuzzy r‐continuous and fuzzy r‐semicontinuous maps

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 53-63, 2001., 2001
We introduce a new notion of fuzzy r‐interior which is an extension of Chang′s fuzzy interior. Using fuzzy r‐interior, we define fuzzy r‐semiopen sets and fuzzy r‐semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang′s fuzzy topology, respectively.
Seok Jong Lee, Eun Pyo Lee
wiley   +1 more source

Regular L‐fuzzy topological spaces and their topological modifications

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 687-695, 2000., 2000
For L a continuous lattice with its Scott topology, the functor ιL makes every regular L‐topological space into a regular space and so does the functor ωL the other way around. This has previously been known to hold in the restrictive class of the so‐called weakly induced spaces.
T. Kubiak, M. A. de Prada Vicente
wiley   +1 more source

On fuzzy function spaces

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 727-737, 1999., 1999
In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets.
Gunther Jäger
wiley   +1 more source

On soft parametric somewhat-open sets and applications via soft topologies. [PDF]

Heliyon, 2023
Al-Shami TM, Mhemdi A.
europepmc   +1 more source