scholarly journals Suatu Kajian Tentang Lapangan Kabur dan Ruang Vektor Kabur

2019 ◽  
Vol 1 (1) ◽  
pp. 85
Author(s):  
Muhammad Abdy ◽  
Syafruddin Side ◽  
Muhammad Edy Rizal
Keyword(s):  
Fuzzy Set ◽  
Vector Spaces ◽  
Linear Spaces ◽  
Fuzzy Concept ◽  
Fuzzy Vector

Abstrak. Penelitian ini memberikan beberapa perbaikan pada definisi lapangan kabur dan ruang vektor kabur. Selain itu, juga ditunjukkan beberapa teorema yang berlaku pada kedua konsep lapangan dan ruang vektor (konsep klasik dan kabur).Kata Kunci: Himpunan Kabur, Lapangan, Ruang Vektor, Lapangan Kabur, Ruang Vektor KaburAbstract. This research redefine fuzzy fields and fuzzy linear spaces. Furthermore, we show some theorem that applies to both concepts of fields and linear spaces (classic and fuzzy concept).Keywords: Fuzzy Set, Fields, Vector Spaces, Fuzzy Fields, Fuzzy Vector Spaces 

Bases of fuzzy vector spaces

1993 ◽  
Vol 67 (1-2) ◽  
pp. 87-92 ◽  
Author(s):  
John N. Mordeson
Keyword(s):  
Vector Spaces ◽  
Fuzzy Vector

scholarly journals Topological Quasilinear Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Yılmaz Yılmaz ◽  
Sümeyye Çakan ◽  
Şahika Aytekin
Keyword(s):  
Functional Analysis ◽  
Linear Functional ◽  
Vector Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Localization Principle ◽  
Topological Vector Spaces

We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings. Further, Aseev presented some basic quasilinear counterpart of linear functional analysis by introducing the notions of norm and bounded quasilinear operators and functionals. Our investigations show that translation may destroy the property of being a neighborhood of a set in topological quasilinear spaces in contrast to the situation in topological vector spaces. Thus, we prove that any topological quasilinear space may not satisfy the localization principle of topological vector spaces.

scholarly journals Conorms over anti fuzzy vector spaces

2020 ◽  
Vol 4 (1) ◽  
pp. 158-167
Author(s):  
Rasul Rasuli ◽  
Keyword(s):  
Vector Spaces ◽  
Fuzzy Vector

scholarly journals The Fuzzification of Classical Structures: A General View

2015 ◽  
Vol 10 (6) ◽  
pp. 12 ◽  
Author(s):  
Ioan Dzitac
Keyword(s):  
Metric Spaces ◽  
50Th Anniversary ◽  
Vector Spaces ◽  
Fuzzy Mathematics ◽  
Future Research ◽  
Topological Spaces ◽  
General View ◽  
Linear Spaces ◽  
Topological Vector Spaces ◽  
Fuzzy Topological Spaces

The aim of this survey article, dedicated to the 50th anniversary of Zadeh’s pioneering paper "Fuzzy Sets" (1965), is to offer a unitary view to some important spaces in fuzzy mathematics: fuzzy real line, fuzzy topological spaces, fuzzy metric spaces, fuzzy topological vector spaces, fuzzy normed linear spaces. We believe that this paper will be a support for future research in this field.

Bounded and Semi Bounded Inverse Theorems in Fuzzy Normed Spaces

2015 ◽  
Vol 4 (2) ◽  
pp. 47-55 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Linear Space ◽  
Linear Operators ◽  
Vector Spaces ◽  
Closed Space ◽  
Normed Spaces ◽  
Topological Vector Spaces ◽  
Compact Spaces ◽  
Inverse Theorems ◽  
Fuzzy Vector

In this paper, the author introduces the notion of the complete fuzzy norm on a linear space. And the author considers some relations between the fuzzy completeness and ordinary completeness on a linear space, moreover a new form of fuzzy compact spaces, namely b-compact spaces, b-closed space is introduced. Some characterization of their properties is obtained. Also some basic properties for linear operators between fuzzy normed spaces are further studied. The notions of fuzzy vector spaces and fuzzy topological vector spaces were introduced in Katsaras and Liu (1977). These ideas were modified by Katsaras (1981), and in (1984) Katsaras defined the fuzzy norm on a vector space. In (1991) Krishna and Sarma discussed the generation of a fuzzy vector topology from an ordinary vector topology on vector spaces. Also Krishna and Sarma (1992) observed the convergence of sequence of fuzzy points. Rhie et al. (1997) Introduced the notion of fuzzy a-Cauchy sequence of fuzzy points and fuzzy completeness.

scholarly journals Fuzzy Hypervector Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-9 ◽  
Author(s):  
R. Ameri ◽  
O. R. Dehghan
Keyword(s):  
Fundamental Theorem ◽  
The Other ◽  
Vector Spaces ◽  
Fuzzy Subset ◽  
Fuzzy Vector

The aim of this paper is the generalization of the notion of fuzzy vector spaces to fuzzy hypervector spaces. In this regard, by considering the notion of fuzzy hypervector spaces, we characterized a fuzzy hypervector space based on its level sub-hyperspace. The algebraic nature of fuzzy hypervector space under transformations is studied. Certain conditions are obtained under which a given fuzzy hypervector space can or cannot be realized as a union of two fuzzy hypervector spaces such that none is contained in the other. The construction of a fuzzy hypervector space generated by a given fuzzy subset of a hypervector space is given. The set of all fuzzy cosets of a fuzzy hypervector space is shown to be a hypervector space. Finally, a fuzzy quotient hypervector space is defined and an analogue of a consequence of the “fundamental theorem of homomorphisms” is obtained.

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