New Results of Fixed-Point Theorems in Complete Metric Spaces

Yaseen, Mustafa T.; Ali, Ali Hasan; Almoneef, Areej A.; Bazighifan, Omar; Nofal, Taher A.; Ghanim, F.

doi:10.1155/2022/2885927

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…Numerous studies conducted using the hierarchical process method and liking it with fuzzy logic [4,14,15]. Several related studies were recently conducted by researchers including applications in numerical analysis, fuzzy cones, oscillation theory, thermal science and image processing can be found here [1,3,5,6,9,13,17,21,25]. Scientist L. A. Zadeh was considered the first to propose the idea of a fuzzy number as a convex group and an ordinary fuzzy group [2,8,22].…”

Section: Introductionmentioning

confidence: 99%

Selection of Quality Gemstones Based on Fuzzy Analytical Hierarchy Process

Dhaher

Abdullah²,

Algwauish³

2023

Eur. J. Pure Appl. Math.

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The suggestion in this paper tackles the uncertainty of choosing the best analysis and selection of high-quality gemstones based on multiple specific criteria of quantitative and qualitative nature. In this paper, we use the fuzzy analytic hierarchy process (F-AHP) in order to make the right decision to know the quality of the gemstone. This method is based on an effective algorithm through comparisons between the characteristics of the stones and their weight. F-AHP applies in this work to select one criterion from five criteria (specific gravity, color, clarity, cleavage, and Hardness). From the outcome, we note the hat standard of gem size is not always the best standard as seen by some researchers, and we found that small-sizzled stones are sometimes better effective and more flexible than others. Through this study, we note that the method helps reduce bias in decision-making, and method the comparisons are converted into numerical values that are processed and compared within with hierarchy that is related to the fuzzy logic with the property of uncertainty. All computations are applied by MATLAB language.

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Section: Introductionmentioning

confidence: 99%

Selection of Quality Gemstones Based on Fuzzy Analytical Hierarchy Process

Dhaher

Abdullah²,

Algwauish³

2023

Eur. J. Pure Appl. Math.

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New Applications of Perov’s Fixed Point Theorem

2022

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The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approximation of the solution is given, and as a novelty, the approximation of its derivative is also obtained using the same iteration steps.

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New Results of Fixed-Point Theorems in Complete Metric Spaces

Cited by 2 publications

References 13 publications

Selection of Quality Gemstones Based on Fuzzy Analytical Hierarchy Process

Selection of Quality Gemstones Based on Fuzzy Analytical Hierarchy Process

New Applications of Perov’s Fixed Point Theorem

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