Results 41 to 50 of about 62,467 (188)

Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders.
G. Elsalamony
doaj   +1 more source

A novel approach to nano topology via neutrosophic sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
The main objective of this study is to introduce a new hybrid intelligent structure called Neutrosophic nano topology. Fuzzy nano topology and intuitionistic nano topology can also be deduced from the neutrosophic nano topology. Based on the neutrosophic
M. Lellis Thivagar   +3 more
doaj   +1 more source

Scott convergence and fuzzy Scott topology on L-posets

open access: yesOpen Mathematics, 2017
We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset.
Liu Hongping, Chen Ling
doaj   +1 more source

Projectors, matrix models and noncommutative instantons

open access: yes, 2004
We deconstruct the finite projective modules for the fuzzy four-sphere, described in a previous paper, and correlate them with the matrix model approach, making manifest the physical implications of noncommutative topology.
Valtancoli, P.
core   +1 more source

Polar fuzzy topologies on fuzzy topological vector spaces

open access: yes, 2019
arXiv admin note: text overlap with arXiv:1910 ...
Daraby, B., Khosravi, N., Rahimi, A.
openaire   +2 more sources

On the Intuitionistic fuzzy topological (metric and normed) spaces

open access: yes, 2005
In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete.
Amini   +22 more
core   +1 more source

Fuzzy T1-topological spaces

open access: yesJournal of Mathematical Analysis and Applications, 1984
The authors define fuzzy \(T_ 1\)-topological spaces (X,\(\tau)\) using fuzzy points introduced by \textit{C. K. Wong} [ibid. 46, 316-328 (1974; Zbl 0278.54004)]. \(T_ 1\)-ness is defined as weak separation by fuzzy open sets. The main theorem shows a difference to the topological analogue.
Srivastava, Rekha   +2 more
openaire   +1 more source

Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed ...
S. E. Rodabaugh
doaj   +1 more source

Application of Induced Preorderings in Score Function-Based Method for Solving Decision-Making with Interval-Valued Fuzzy Soft Information

open access: yesMathematics, 2021
Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment.
Mabruka Ali   +2 more
doaj   +1 more source

Weak fuzzy topology on fuzzy topological vector spaces

open access: yes, 2019
In this paper, we introduce the concept of weak fuzzy linear topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) considered with its usual fuzzy topology.
Daraby, B., Khosravi, N., Rahimi, A.
openaire   +2 more sources

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