scholarly journals An Approach of Trustworthy Measurement Allocation Based on Sub-Attributes of Software

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 237 ◽  
Author(s):  
Hongwei Tao ◽  
Hengyang Wu ◽  
Yixiang Chen

Measurement of software trustworthiness is an important research field in the software engineering, which is very useful for analyzing the software quality. In this paper, we propose a mathematical programming approach to allocate the trustworthy degree to each sub-attribute of some software attribute appropriately and then to make the trustworthy degree of this attribute maximize under some constraint conditions. Some sufficient or necessary conditions for analyzing this mathematical programming problem are investigated. Moreover, a polynomial allocation algorithm is given for computing the optimal solution of this mathematical programming. Finally, an example is given in order to show the significance of this work. The results obtained here are useful for improving the software quality by adjusting the trustworthy degree of each sub-attribute under the same cost.

Mathematics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 14
Author(s):  
Hongwei Tao ◽  
Yixiang Chen ◽  
Hengyang Wu

Software trustworthiness is an important research field in software engineering. In order to appropriately evaluate it, some different measurement approaches have been proposed, which have important guiding significance for improving software trustworthiness. Recently, we have investigated attributes-based approaches. That is, how to maximize trustworthy degree of some software satisfying a given threshold by adjusting every attribute value such that the cost is minimal, i.e., the sum of all attribute values is as small as possible. The work is helpful to improve the software quality under the same cost. This paper continues this work and considers a reallocation approach to dealing with the problem that the threshold and the minimal constraints of every attribute values dynamically increase. In this process, the costs of trustworthiness improvement should be ensured to be minimal. For this purpose, we firstly define a reallocation model by mathematical programming. Then we introduce the notion of growth function. Based on this, a polynomial reallocation algorithm is designed to solve the above reallocation model. Finally, we verify our work on spacecraft softwares and the results show that this work is valid.


2021 ◽  
Author(s):  
Sheng-Hsing Nien ◽  
Liang-Hsuan Chen

Abstract This study develops a mathematical programming approach to establish intuitionistic fuzzy regression models (IFRMs) by considering the randomness and fuzziness of intuitionistic fuzzy observations. In contrast to existing approaches, the IFRMs are established in terms of five ordinary regression models representing the components of the estimated triangular intuitionistic fuzzy response variable. The optimal parameters of the five ordinary regression models are determined by solving the proposed mathematical programming problem, which is linearized to make the resolution process efficient. Based on the concepts of randomness and fuzziness in the formulation processes, the proposed approach can improve on existing approaches’ weaknesses with establishing IFRMs, such as the limitation of symmetrical triangular membership (or non-membership) functions, the determination of parameter signs in the model, and the wide spread of the estimated responses. In addition, some numerical explanatory variables included in the intuitionistic fuzzy observations are also allowed in the proposed approach, even though it was developed for intuitionistic fuzzy observations. In contrast to existing approaches, the proposed approach is general and flexible in applications. Comparisons show that the proposed approach outperforms existing approaches in terms of similarity and distance measures.


2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Irena Stojkovska

We give an alternative proof of the optimality of the solution for the deterministic EPQ with partial backordering (EPQ-PBO) [Omega, vol. 37, no. 3, pp. 624–636, 2009]. Our proof is based on the mathematical programming theory. We also demonstrate the determination of the optimal decision policy through solving the corresponding mathematical programming problem. We indicate that the same approach can be used within other inventory models with partial backordering, and we consider additional models.


BIBECHANA ◽  
2015 ◽  
Vol 13 ◽  
pp. 72-76
Author(s):  
MA Lone ◽  
MS Puktha ◽  
SA Mir

In this paper we present a Fuzzy linear Mathematical programming approach for optimal allocation of land under cultivation. Fuzzy Mathematical programming approach is more realistic and flexible optimal solution for the agricultural land cultivation problem. In this study we have discussed how to deal with decision making problems that are described by Fuzzy linear programming (Flp) models and formulated with the elements of uncertainty. This form of approximation can be convenient and sufficient for making good decisions. BIBECHANA 13 (2016) 72-76


2008 ◽  
Vol 75 (1) ◽  
pp. 69-89 ◽  
Author(s):  
Hiroto Saigo ◽  
Sebastian Nowozin ◽  
Tadashi Kadowaki ◽  
Taku Kudo ◽  
Koji Tsuda

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