Fuzzy ideal topological vector spaces
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Fadhil Abbas
and
Hassan A. Alhayo
Abstract
In this paper, we introduce the concept of fuzzy ideal topological vector spaces and study the basic properties of fuzzy-I-open and fuzzy-I-closed sets in fuzzy ideal topological vector spaces. Also, we study the properties of fuzzy-I-Hausdorff and fuzzy-I-compact in fuzzy ideal topological vector spaces. Furthermore, we introduce the concepts of fuzzy-I-homogenous space, fuzzy-I-monomorphism space, fuzzy-I-isomorphism space and fuzzy-I-automorphism space. Finally, we introduce the concepts of fuzzy-I-bounded set, fuzzy-I-balanced set, fuzzy-I-symmetric set and study their properties in fuzzy ideal topological vector spaces.
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( Communicated by Anatolij Dvurečenskij )
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Articles in the same Issue
- Regular Papers
- Variants of Booleanness: Congruences of a partial frame versus those of its free frame
- Models, coproducts and exchangeability: Notes on states on Baire functions
- Inverse tangent series involving pell and pell-lucas polynomials
- A new family of two-variable polynomials based on hermite polynomials
- Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
- On the solvability of a fourth-order differential evolution equation on singular cylindrical domain in R4
- Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition
- Stability criteria for systems of two first-order linear ordinary differential equations
- A perturbed eigenvalue problem in exterior domain
- On extensions of bilinear maps
- Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators
- Weighted composition operators from the Besov space into nth weighted type spaces
- Fuzzy ideal topological vector spaces
- Partial actions on convergence spaces
- On quasi-small loop groups
- Topologies generated by symmetric porosity on normed spaces
- The Alpha Power Rayleigh-G family of distributions
- An alternative for Laplace Birnbaum-Saunders distribution
- Existence of positive solutions for boundary value problems with p-Laplacian operator
