Properties of fuzzy absolute value on R and Properties Finite Dimensional Fuzzy Normed Space

doi:10.24996/ijs.2018.59.2b.12

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…By defining a characteristic (or membership) function for each element , one can represent a classical set by a set of order pairs (x,0) or (x,1), which indicates that or , respectively. A fuzzy set ˜ expresses the degree to which an element belongs to a set [9,10]. Hence, for simplicity, the membership function of a fuzzy set ˜ is allowed to have values between 0 and 1, which reflects the degree of the membership of an element in ˜.…”

Section: Kareem Et Almentioning

confidence: 99%

Existence and Uniqueness Theorem of Fuzzy Stochastic Ordinary Differential Equations

Kareem,

Fadhel,

Al-Nassir

2023

Iraqi Journal of Science

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A fuzzy valued diffusion term, which in a fuzzy stochastic differential equation refers to one-dimensional Brownian motion, is defined by the meaning of the stochastic integral of a fuzzy process. In this paper, the existence and uniqueness theorem of fuzzy stochastic ordinary differential equations, based on the mean square convergence of the mathematical induction approximations to the associated stochastic integral equation, are stated and demonstrated.

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Section: Kareem Et Almentioning

confidence: 99%

Existence and Uniqueness Theorem of Fuzzy Stochastic Ordinary Differential Equations

Kareem,

Fadhel,

Al-Nassir

2023

Iraqi Journal of Science

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“…(2)there is q with q⊗ q ≥ n where n, q [0,1]. First we need the following definition Definition 2.4: [26] Let ℝ be a vector a space of real numbers over filed ℝ and ,⊗ be continuous t-norm. A fuzzy set ℝ :ℝ [0, ) is called fuzzy absolute value on ℝ if it satisfies (A1) 0 ≤ ℝ (n, a) < 1 for all a>0.…”

Section: Remark 23:[24]mentioning

confidence: 99%

Properties of The Space GFB(V, U)

Kider

Gheeab

2019

J. Al-Qadisiyah Comp. Sci. Math.

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Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties to define the general fuzzy bounded operator as a background to introduce the notion general fuzzy norm of a general fuzzy bounded linear operator. After that we proved any operator from a general fuzzy normed space into a general complete general fuzzy normed space has an extension. Also we prove that a general fuzzy bounded operator on a general fuzzy normed space is equivalent to a general fuzzy continuous. Finally different types of fuzzy approaches of operators is introduced in order to prove that the general fuzzy normed space GFB(V,U) is general complete when U is general complete.

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Properties of the Adjoint Operator of a General Fuzzy Bounded Operator

Gheeab

Kider

2021

Baghdad Sci.J

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Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties in order to define the adjoint operator of a general fuzzy bounded operator from a general fuzzy normed space V into another general fuzzy normed space U. After that basic properties of the adjoint operator were proved then the definition of fuzzy reflexive general fuzzy normed space was introduced in order to prove that every finite dimensional general fuzzy normed space is fuzzy reflexive.

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Properties of fuzzy absolute value on R and Properties Finite Dimensional Fuzzy Normed Space

Abstract: The first aim in this paper is to introduce the definition of fuzzy absolute value on the vector space of all real numbers then basic properties of this space are investigated. The second aim is to prove some properties that finite dimensional fuzzy normed space have.

Cited by 4 publications

References 9 publications

Existence and Uniqueness Theorem of Fuzzy Stochastic Ordinary Differential Equations

Existence and Uniqueness Theorem of Fuzzy Stochastic Ordinary Differential Equations

Properties of The Space GFB(V, U)

Properties of the Adjoint Operator of a General Fuzzy Bounded Operator

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