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jih-2767
Study of Fuzzy σ-Ring  and Some Related Concepts
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This paper introduces the concept of fuzzy σ-ring as a generalization of fuzzy σ-algebra and basic properties; examples of this concept have been given.  As the first result, it has been proved that every  σ-algebra over a fuzzy set x*  is a  fuzzy σ-ring-over a fuzzy set x*  and construct their converse by example. Furthermore, the fuzzy ring  concept has been studied to generalize fuzzy algebra and its relation. Investigating  that the concept of fuzzy  σ-Ring is a stronger form of a fuzzy ring  that is every fuzzy σ-Ring over a fuzzy set x* is a fuzzy ring over a fuzzy set x* and construct their converse by example. In addition, the idea of the smallest, as an important property in the study of real analysis, is studied as well. Finally, the main goal of this paper is to study these concepts and give basic properties, examples, characterizations and relationships between them.

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Publication Date
Thu Jun 01 2017
Journal Name
Journal Of Huazhong University Of Science And Technology [medical Sciences]
New mini dental implant attachments versus O-ring attachment after cyclic aging: Analysis of retention strength and gap space
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Publication Date
Sun Aug 13 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Diurnal Variation of Phytoplankton and Related Ecological Parameters of One Location in Habbaniya Lake, Iraq
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   The presnty study included physical , chemical  and phycological study of choosen one station in  Habbaniya lake to investigat the diurnal variation at each hour along the 24 hours . Water temperature showed clear variations and coincided with the air temperature of study , Habbaniya Water was alkaline with pH more than 7 without clear diurnal variations . Conductivity , Total hardness , Calcium and Magnesium values showed no clear varitions . Chloride and Salinity values appeared relatively stable . The data showed a relative increasing in Dissolve oxygen values during the night hours.On the other hand the alkalinity and acidity values were unstable during the 24 hours of the study. According to the quantitative s

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Publication Date
Thu Apr 27 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Existence and Uniqueness of The Solution of Nonlinear Volterra Fuzzy Integral Equations
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 In this paper, we proved the existence and uniqueness of the solution of nonlinear Volterra fuzzy integral equations of the second kind.
 

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
About the construction of fuzzy inner product
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In this research for each positive integer integer and is accompanied by connecting that number with the number of Bashz Attabq result any two functions midwives to derive a positive integer so that there is a point

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Publication Date
Sun Jun 02 2019
Journal Name
Baghdad Science Journal
Properties of a Complete Fuzzy Normed Algebra
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          The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given.

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Publication Date
Wed Nov 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Interval valued fuzzy ideals of TM-algebra
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We introduce the notion of interval value fuzzy ideal of TM-algebra as a generalization of a fuzzy ideal of TM-algebra and investigate some basic properties. Interval value fuzzy ideals and T-ideals are defined and several examples are presented. The relation between interval value fuzzy ideal and fuzzy T-ideal is studied. Abstract We introduce the notion of interval value fuzzy ideal of TM-algebra as a generalization of a fuzzy ideal of TM-algebra and investigate some basic properties. Interval value fuzzy ideals and T- ideals are defined and several examples are presented. The relation between interval value fuzzy ideal and fuzzy T-ideal is studied.

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Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
Hyper Fuzzy AT-ideals of AT-algebra
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Abstract<p>The aim of this paper is to introduce the notion of hyper fuzzy AT-ideals on hyper AT-algebra. Also, hyper fuzzy AT-subalgebras and fuzzy hyper AT-ideal of hyper AT-algebras are studied. We study on the fuzzy theory of hyper AT-subalgebras and hyper AT-ideal of hyper AT-algebras. Furthermore, the fuzzy set theory of the (weak, strong, s-weak) hyper fuzzy ATideals in hyper AT-algebras are applied and the relations among them are obtained.</p>
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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Another Type of Fuzzy Inner Product Space
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    In this paper, we generalize the definition of fuzzy inner product space that is introduced by Lorena Popa and Lavinia Sida on a complex linear space. Certain properties of the generalized fuzzy inner product function are shown. Furthermore, we prove that this fuzzy inner product produces a Nadaban-Dzitac fuzzy norm. Finally, the concept of orthogonality is given and some of its properties are proven.

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Publication Date
Wed Mar 30 2022
Journal Name
Iraqi Journal Of Science
Zariski Topology of Intuitionistic Fuzzy d-filter
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In this paper we discuss the Zariski topology of intuitionistic fuzzy d-filter in d-algebra, with some topological properties on the spectrum of intuitionistic fuzzy d-filter in d-algebra X which have algebraic features such as connectedness. We find that this topology is a strongly connected, and  T0 space. We also define the invariant map on intuitionistic fuzzy prime d-filter with a homomorphism map.

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Publication Date
Wed May 01 2019
Journal Name
Iraqi Journal Of Science
Properties of a General Fuzzy Normed Space
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The aim of this paper is to introduce the definition of a general fuzzy norned space as a generalization of the notion fuzzy normed space after that some illustrative examples are given then basic properties of this space are investigated and proved.

For example when V and U are two general fuzzy normed spaces then the operator  is a general fuzzy continuous at u  V if and only if u in V implies S(u) in U.

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