Fuzzy T-locality spaces

Morsi, Nehad N.

doi:10.1016/0165-0114(94)00206-m

Cited by 15 publications

(6 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Theorems 7.1 and 7.2, below, we provide several complete characterizations for these two properties, which have been useful in a number of applications, see [1,[40][41][42]. But, we want to discourse in the general setting of (L, P)-valued implications.…”

Section: Pseudo-strict Conjunctionsmentioning

confidence: 96%

Issues on adjointness in multiple-valued logics

Morsi

Roshdy

2006

Information Sciences

Self Cite

View full text Add to dashboard Cite

Section: Pseudo-strict Conjunctionsmentioning

confidence: 96%

Issues on adjointness in multiple-valued logics

Morsi

Roshdy

2006

Information Sciences

Self Cite

View full text Add to dashboard Cite

“…I-filters and I-filterbases were introduced by Lowen in [8]. An I-filter in a universe X is a nonempty collection I & I X which satisfies: 0 R I; I is closed under finite meets and contains all the fuzzy supersets of its individual members.…”

Section: Prerequisitesmentioning

confidence: 99%

Characterization of TL-uniform spaces by coverings

Hashem

2012

Journal of the Egyptian Mathematical Society

View full text Add to dashboard Cite

In this paper we introduce the concepts of fuzzy TL-uniform spaces by means of coverings, where T stands for any continuous triangular norm. We show that the structure of covering TL-uniform spaces are isomorphic to fuzzy TL-uniform spaces as defined by Hashem and Morsi (2006) [5]. In particular, we study the continuity of functions between covering TL-uniform spaces, the I-topological space associated with a covering TL-uniform space. Also, we define the notions of level covering uniformities for a covering TL-uniformity. Moreover, we deduce a number of functors between categories of covering TL-uniform spaces, fuzzy TL-uniform spaces, covering uniform spaces and uniform spaces.

show abstract

“…is a topology on X, said to be the α-level topology of τ [8]. It is direct to see that its interior operator is given by 10) and, ι(τ) = sup α∈I1 ι α (τ) is called the topology modification of τ [8]. Prefilters and prefilterbases were introduced by Lowen in [9].…”

Section: Prerequisitesmentioning

confidence: 99%

“…Definition 2.2 [10]. The T-saturation operator is the operator ∼ T which sends a prefilterbase Ꮾ in X to the following subset of I X : 11) said to be the T-saturation of Ꮾ.…”

Section: Prerequisitesmentioning

confidence: 99%

See 1 more Smart Citation

Fuzzy TL‐uniform spaces

Hashem

Morsi

2006

International Journal of Mathematics and Mathematical Sciences

Self Cite

View full text Add to dashboard Cite

The main purpose of this paper is to introduce a new structure that is a fuzzyTL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzyT-locality space. Also, we deduce the concept of level uniformities of a fuzzyTL-uniformity. We connect the category of fuzzyTL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzyTL-uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzyTL-uniform spaces into the category of fuzzyT-locality spaces and we show that it preserves optimal lifts.

show abstract

Fuzzy T-locality spaces

Cited by 15 publications

References 42 publications

Issues on adjointness in multiple-valued logics

Issues on adjointness in multiple-valued logics

Characterization of TL-uniform spaces by coverings

Fuzzy TL‐uniform spaces

Contact Info

Product

Resources

About