A method for aggregation of trapezoidal fuzzy estimates under group decision-making

Tsabadze, Teimuraz

doi:10.1016/j.fss.2014.08.011

Cited by 7 publications

(8 citation statements)

References 12 publications

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“…It is obvious that P m j¼1 ω j ¼ 1. In [7] it is proved that the function in expression (15) is always continuous (the denominator does not turn into 0 in any case).…”

Section: Credit Risk Assessment Methodsmentioning

confidence: 99%

“…Proposition 1 [7]. For any finite collection of trapezoidal fuzzy numbersR j ÈÉ , j ¼ 1, m, m ¼ 2, 3, … , the following holds:…”

Section: Credit Risk Assessment Methodsmentioning

confidence: 99%

“…The following theorem yields a formal definition of a representative. Theorem 1 [7]. In the metric space of trapezoidal fuzzy numbers, the It follows from the theorem that when the number of members in a finite collection of trapezoidal fuzzy numbers is even, a representative can take on an infinite number of values.…”

Section: Essential Notions and Theoretical Backgroundmentioning

confidence: 98%

“…In this chapter we will deal with trapezoidal fuzzy numbers. Almost all the results given in this and third sections are, with minor modifications, taken from [7]; therefore we will refrain from further citation.…”

Section: Essential Notions and Theoretical Backgroundmentioning

confidence: 99%

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A New Approach for Assessing Credit Risks under Uncertainty

Tsabadze¹

2020

Banking and Finance

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The purpose of this chapter is to introduce a new approach for an assessment of the credit risks. The initial part of the chapter is to briefly discuss the existing models of assessment of the credit risks and justify the need for a new approach. Since a new approach is created for conditions of uncertainty, we cannot do without fuzzy mathematics. The proposed approach is based on group decision-making, where experts’ opinions are expressed by trapezoidal fuzzy numbers. The theoretical basis of the offered approach is laid out in the metric space of trapezoidal fuzzy numbers. The new approach is introduced and discussed, and two realization algorithms are given. The toy example of application of the introduced approach is offered as well.

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“…It is obvious that P m j¼1 ω j ¼ 1. In [7] it is proved that the function in expression (15) is always continuous (the denominator does not turn into 0 in any case).…”

Section: Credit Risk Assessment Methodsmentioning

confidence: 99%

“…Proposition 1 [7]. For any finite collection of trapezoidal fuzzy numbersR j ÈÉ , j ¼ 1, m, m ¼ 2, 3, … , the following holds:…”

Section: Credit Risk Assessment Methodsmentioning

confidence: 99%

Section: Essential Notions and Theoretical Backgroundmentioning

confidence: 98%

Section: Essential Notions and Theoretical Backgroundmentioning

confidence: 99%

See 2 more Smart Citations

A New Approach for Assessing Credit Risks under Uncertainty

Tsabadze¹

2020

Banking and Finance

Self Cite

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“…Then, the questionnaires containing incomplete and irrelevant answers have been removed and twenty-five questionnaires have been finalized for each site [67]. The opinions of users have been quantified and aggregated for every question by employing fuzzy aggregation technique as portrayed by Tsabadze [68]. Perceived design quality index value (DQIU) has been obtained by computing the weighted average of twenty questions.…”

Section: Validation Of the Frameworkmentioning

confidence: 99%

A fuzzy-based framework for evaluation of website design quality index

Sandeep

Gupta²

2020

Int J Digit Libr

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An unrecognized significance of the web acts as a driving force for the massive and rapid growth of websites in each domain of social life. For making a successful website, it is necessary for developers to embrace appropriate web testing and evaluation methodology. Some valuable works in the past have striven to appraise the web applications quantitatively. Various parameters have been considered which are again sub-parameterized to measurable indicators. But their weighing criterion has not been appropriately taken into account according to the domain of the website. Also, the relative degrees of interactions among parameters have not been taken into consideration. The work presented in this paper aims at describing a framework, Quality Index Evaluation Method to gauge the design quality of a website in the form of index value. An automated tool has been designed and coded to measure the metrics quantitatively. A weighing technique based on Fuzzy-DEMATEL (Decision Making Trial and Evaluation Laboratory Method) has been applied on these metrics. Fuzzy trapezoidal numbers have been used for assessment of parameters and the final design quality index value. To verify the use of framework in different website domains, it has been exercised on eight academic (four institutional and four digital libraries), five informative and four commercial websites. The results have been validated through the most widely used method in literature, i.e., user judgment. Opinions of users for each website have been quantified and aggregated with fuzzy aggregation technique. Experimental results show that the proposed framework provides accurate and consistent results in very less time.

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Developing a rough set based approach for group decision making based on determining weights of decision makers with interval numbers

Yang

Wang³

et al. 2017

Oper Res Int J

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The goal of this paper is to propose a novel approach for determining the weights of decision makers (DMs) in group settings with a rough set group method, in which each decision maker's decision matrix is in interval numbers. In this paper, we first build a lower rough group decision (LRGD) and an upper rough group decision (URGD) from a rough group decision. Then, we define the average matrix of LRGD as a Lower positive ideal solution (Lower PIS), and the average matrix of URGD as an Upper positive ideal solution (Upper PIS) based on the Technique for Order Preference by Similarity to Ideal Solution method. Next, the average matrix of the Lower PIS and Upper PIS is regarded as the positive ideal solution (PIS), and the farthest distance from the PIS is regarded as the negative ideal solution (NIS). After that, each DM's weight is derived from the distances from the DM's decision to the PIS and NIS. Comparisons with existing methods are also made. Finally, an example of air quality evaluation is provided to clarify the availability of the proposed method.

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A method for aggregation of trapezoidal fuzzy estimates under group decision-making

Cited by 7 publications

References 12 publications

A New Approach for Assessing Credit Risks under Uncertainty

A New Approach for Assessing Credit Risks under Uncertainty

A fuzzy-based framework for evaluation of website design quality index

Developing a rough set based approach for group decision making based on determining weights of decision makers with interval numbers

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