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Fuzzy Real Pre-Hilbert Space and Some of Their Properties
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In this work, two different structures are proposed which is fuzzy real normed space (FRNS) and fuzzy real Pre-Hilbert space (FRPHS). The basic concept of fuzzy norm on a real linear space is first presented to construct  space, which is a FRNS with some modification of the definition introduced by G. Rano and T. Bag. The structure of fuzzy real Pre-Hilbert space (FRPHS) is then presented which is based on the structure of FRNS. Then, some of the properties and related concepts for the suggested space FRN such as -neighborhood, closure of the set  named , the necessary condition for separable, fuzzy linear manifold (FLM) are discussed. The definition for a fuzzy seminorm on  is also introduced with the prove that a fuzzy seminorm on  is FRNS. The relationship between the -convergent sequence, -Cauchy sequence and -completeness is then investigated in this work. The structure of FRPHS with some important properties concerning on this space are introduced and proved. In addition, the property of orthogonality with some important properties for these spaces is included, for example the annihilator of the set . The relation between FRPHS and FRNS is investigated in the present work. Finally, after introducing the structure of FRPHS, it leads naturally to the definition of the most important class of FRPHS, namely the fuzzy real Hilbert space (FRHS).

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Publication Date
Tue Jun 04 2024
Journal Name
Int. J. Operational Research
Pascal’s triangle graded mean defuzzification approach for solving fuzzy assignment models by using pentagonal fuzzy numbers
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The fuzzy assignment models (FAMs) have been explored by various literature to access classical values, which are more precise in our real-life accomplishment. The novelty of this paper contributed positively to a unique application of pentagonal fuzzy numbers for the evaluation of FAMs. The new method namely Pascal’s triangle graded mean (PT-GM) has presented a new algorithm in accessing the critical path to solve the assignment problems (AP) based on the fuzzy objective function of minimising total cost. The results obtained have been compared to the existing methods such as, the centroid formula (CF) and centroid formula integration (CFI). It has been demonstrated that operational efficiency of this conducted method is exquisitely deve

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Publication Date
Sun May 10 2020
Journal Name
Baghdad Science Journal
Seroprevalence and some Demographic Factors Associated with Toxoplasma gondii Infection among Male Population in Duhok Province/Iraq
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The present study aims to investigate the seroprevalence rate of Toxoplasma gondii infection and its relation to some demographic factors among males in Duhok province/Iraq. A total of 424 random blood samples were collected from the male population of different ages (18-60) years and different social-economic classes. Out of 424 samples examined, 108 (25.47%) were seropositive to the anti- T. gondii antibodies; 88 (20.75%) were found seropositive for IgG, while 20 (4.72%) samples were seropositive for IgM. Regarding occupation, the highest percentage for chronic toxoplasmosis was reported in workers followed by policemen and pensioners at rates of 23.96%, 23.6%, and 23.07%, respectively. The age group 18-30 y

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Publication Date
Wed Feb 01 2023
Journal Name
Baghdad Science Journal
Potential Role of 8-Hydroxyguanosine and some Pro Inflammatory Cytokines as Biomarkers in Colorectal Cancer Iraqi Patients
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8-hydroxyguanosine (8-OHdG) is considered as an indicator of the oxidative stress. Pro inflammatory cytokines are critical parts of the pathophysiological processes to which treatment can be applied. The aim of this study was to evaluate 8-OHdG and pro inflammatory cytokines concentration in colon carcinoma patients. Blood samples were taken before treatment from 50 incident cases with colon cancer (stage III) admitted for health examination at the Nanakali Hospital in Erbil city with 45 healthy samples of controls with age range between 38-69 years for both groups. All studied parameters were estimated by ELISA. Participants at this study were 95 Participants ranged in age from 38 to 69 years, 50 Participants had been newly diagnosed wi

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Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Interval Value Fuzzy k-Ideals of a KU-Semigroup
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The notion of interval value fuzzy k-ideal of KU-semigroup was studied as a generalization of afuzzy k-ideal of KU-semigroup. Some results of this idea under homomorphism are discussed. Also, we presented some properties about the image (pre-image) for interval~ valued fuzzy~k-ideals of a KU-semigroup. Finally, the~ product of~ interval valued fuzzyk-ideals is established.

 

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Publication Date
Thu Oct 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach
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The aims of the paper are to present a modified symmetric fuzzy approach to find the best workable compromise solution for quadratic fractional programming problems (QFPP) with fuzzy crisp in both the objective functions and the constraints. We introduced a modified symmetric fuzzy by proposing a procedure, that starts first by converting the quadratic fractional programming problems that exist in the objective functions to crisp numbers and then converts the linear function that exists in the constraints to crisp numbers. After that, we applied the fuzzy approach to determine the optimal solution for our quadratic fractional programming problem which is supported theoretically and practically. The computer application for the algo

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Publication Date
Sun Sep 02 2018
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Seasonal variations of childhood Guillain-Barre Syndrome in South west Iran
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Background: It was found that the occurrence of Guillain-Barre Syndrome (GBS) varies in respect to
the month and season; this variation has not been adequately studied.
Objective: To determine the month and seasonal variation of GBS in children in the Khuzestan
province, south west Iran, during a 10-year period (2006-2015).
Patients and methods: We extracted data retrospectively from acute flaccid paralysis committee
from healthcare centers in all cities of the province, over a 10-year period (from January 1, 2006 to
December 31, 2015). In this study all children under 15 years of age with Guillain-Barre syndrome
were surveyed. In order to compare the frequency of GBS in different seasons and months we used the
Ch

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Publication Date
Mon Dec 04 2023
Journal Name
Aip Conf. Proc
Double LA-transform and their properties for solving partial differential equations
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Publication Date
Tue Oct 23 2018
Journal Name
Journal Of Economics And Administrative Sciences
Comparative study of between P chart and Multinomial Fuzzy quality control chart ( FM).
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Quality is one of the important criteria to determine the success of product. So quality control is required for all stages of production to ensure a good final product with lowest possible losses. Control charts are the most important means used to monitor the quality and its accuracy is measured by quickly detecting unusual changes in the quality to maintain the product and reduce the costs and losses that may result from the defective items. There are different types of quality control charts and new types appeases involving the concept of fuzziness named multinomial fuzzy quality control chart (FM) , dividing the product to accepted and not may not be accurate therefore adding fuzziness concept to quality charts confirm and a

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Publication Date
Tue Sep 08 2020
Journal Name
Baghdad Science Journal
Turbid of Water By Using Fuzzy C- Means and Hard K- Means
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In this research two algorithms are applied, the first is Fuzzy C Means (FCM) algorithm and the second is hard K means (HKM) algorithm to know which of them is better than the others these two algorithms are applied on a set of data collected  from the Ministry of Planning on the water turbidity of five areas in Baghdad to know which of these areas are less turbid in clear water to see which months during the year are less turbid in clear water in the specified area.

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Publication Date
Mon Feb 14 2022
Journal Name
Iraqi Journal Of Science
A New Method for Solving Fully Fuzzy Multi-Objective Linear Programming Problems
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In this paper we present a new method for solving fully fuzzy multi-objective linear programming problems and find the fuzzy optimal solution of it. Numerical examples are provided to illustrate the method.

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