Strategies on the evaluation of binomial coefficients for all integers

Yükçü, Niyazi; Öztekin, Emin

doi:10.1134/s0965542513010119

Cited by 7 publications

(3 citation statements)

References 17 publications

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“…Subjective methods include entropy evaluation [60], principal component analysis [62], similarity scale based on alternative (Doga et al 2006) [63], two-phase method [64], and genetic algorithms [65], and among others. Objective methods cover expert surveys, binomial coefficient [66], judge matrix [67], and importance ranking of attributes [68]. Some methods, such as the analytic hierarchy process, combine subjective and objective techniques.…”

Section: Cost Definitionmentioning

confidence: 99%

A Review of Building Construction Cost Research: Current Status, Gaps and Green Buildings

Skibniewski

2021

Green Building & Construction Economics

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An overall scoping review was conducted to examine research on building construction costs in the past decades. The aim is to provide a better understanding of conventional building construction cost estimation methods, gaps and potential improvement strategies that may mitigate the high risk of the cost overrun in conventional and sustainable building. This study first examined the components included in a building's construction cost and the commonly used calculation methods for cost estimation. Then, additional components included for sustainable buildings were identified and explained. The causal factors for construction cost overruns in sustainable building werediscussed as well. The findings concluded the following: (a) there is no consistent cost definition used in the industry; (b) a variety of cost estimation methods create ambiguity and confusion; and (c) newer cost estimating methods and tools, such as parametric cost estimation, which integrate risk and uncertainties have not been broadly adopted by the building industry. The current practice used to determine a sustainable building's cost estimation is the same traditional method that has been used over several decades, which is based on the material and labor costs. Such a conventional approach does not consider other factors, including the complexity of the sustainable building system, an organization's environment, and the capability of teams, among others. To respond to such a knowledge gap, a comprehensive and consistent cost estimation framework was proposed to integrate risk and uncertainty consideration, which is particularly prevalent in sustainable building.

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Section: Cost Definitionmentioning

confidence: 99%

A Review of Building Construction Cost Research: Current Status, Gaps and Green Buildings

Skibniewski

2021

Green Building & Construction Economics

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“…The beta function can be written and obtained from the some other mathematical functions as gamma functions, binomial coefficients and factorial functions which are frequently used in works: [14][15][16][17][18]. In computational physics, this situation provides great advantage in molecular integral calculations.…”

Section: Introductionmentioning

confidence: 99%

The Numerical Evaluation Methods for Beta Function

Yükçü¹

2022

Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi

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In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in recent years, there is an interest in studies related to the beta function for zero and negative p and q integers. This study, considering the neutrix limits of the beta function, presents new relations for the numerical computation of the beta function, especially for negative integers p and q. In addition, taking into account the definition of the beta function for positive p and q integer values, an algorithm is created to calculate the function for all integer values. Finally, numerical results obtained with the help of our new recurrence relations and algorithm are presented.

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“…Thus, subjective methods can solve the problems. They include expert survey [20], dare score [21], importance ranking of attributes [13], point estimation [22], binomial coefficient [23], and judge matrix [24].…”

Section: Introductionmentioning

confidence: 99%

An Evaluating Method with Combined Assigning-Weight Based on Maximizing Variance

Liu

2015

Scientific Programming

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This paper proposes a combined assigning-weight approach to determine attribute weights in the multiattribute decision problems. The approach combines subjective weights and objective weights of attributes based on maximizing variance. Objective weights are determined by rough set method and subjective weights by Analytic Hierarchy Process. This new combination method may integrate the merits of both subjective and objective weighting methods. Empirical study shows that the new method can lead to more reasonable weighting results and decision.

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Strategies on the evaluation of binomial coefficients for all integers

Cited by 7 publications

References 17 publications

A Review of Building Construction Cost Research: Current Status, Gaps and Green Buildings

A Review of Building Construction Cost Research: Current Status, Gaps and Green Buildings

The Numerical Evaluation Methods for Beta Function

An Evaluating Method with Combined Assigning-Weight Based on Maximizing Variance

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