Missing values estimation and consensus building for incomplete hesitant fuzzy preference relations with multiplicative consistency

Xu, Yang; Li, Caiyun; Wen, Xin

doi:10.2991/ijcis.11.1.9

Cited by 47 publications

(12 citation statements)

References 46 publications

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“…Hence, for quantifying the security durability attributes, Multiple Criteria Decision-Making (MCDM) technique is a significant problem-solving methodology. MCDM can be used in areas including software, system, and many more [12][13][14][15]. MCDM allows decision-makers to select alternatives among different and conflicting criteria when experts are uncertain about their choices [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Measuring Security Durability of Software through Fuzzy-Based Decision-Making Process

Kumar¹,

Zarour²,

Alenezi³

et al. 2019

IJCIS

114

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It is critical to develop secure software with long-term performance and capability to withstand and forestall the growing competition in the software development industry. To enhance the potential of Confidentiality, Integrity, and Availability (CIA), a mechanism is required to built in and secure the durability at the time of software development. Security of a software product is durable if the software works efficiently for user's satisfaction up to the expected duration. Despite the fact that focusing on security which is durable enough considerably reduces maintenance cost, the work done on addressing security as well as durability issues simultaneously during software development remains minimal. To achieve durable security, there is a need to fill the gap between security and durability through identifying and establishing a relationship between security and durability attributes. This article extends the concept of the life span of security services and assesses as well as prioritizes security durability attributes by taking a real-time case study. While building durable security, security experts often face complicated decision problems. Hence, multi-criteria decision-making techniques have been used to solve the issues of measuring conflicting tangible/intangible criteria. In addition, the fuzzy simple average method is used for finding out the rating of security durability attributes. The work has been demonstrated by taking a case study. The results of the study would be useful for security developers to assure the importance of attributes for improving the duration of security.

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Section: Introductionmentioning

confidence: 99%

Measuring Security Durability of Software through Fuzzy-Based Decision-Making Process

Kumar¹,

Zarour²,

Alenezi³

et al. 2019

IJCIS

114

View full text Add to dashboard Cite

show abstract

“…Recently, Xu et al (2017Xu et al ( , 2018 put forward revised definitions of hesitant fuzzy preference relations (HFPRs), in which the values are not ordered for the HFE. For HFPRs with different numbers of pairwise comparison elements, Xu et al (2017Xu et al ( , 2018 proposed additive and multiplicative consistency-based estimation measure to normalize the HFPRs.…”

Section: Comparison With Other Methodsmentioning

confidence: 99%

Distance and entropy measures for dual hesitant fuzzy sets

Zhang

2020

Comp. Appl. Math.

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Dual hesitant fuzzy sets (DHFSs), which consist of the membership and the nonmembership hesitancy function, offer a flexible tool when decision makers give their opinions. The main aim of this paper is to investigate distance and entropy measures for DHFSs. We first propose new distance measures between hesitant fuzzy sets (HFSs), which avoid the issue of extension process in the existing distance measures. On this basis, we propose several distance measures for DHFSs, where the dual hesitant fuzzy elements (DUHEs) of the corresponding DHFSs need not have the same length. In addition, we construct several entropy measures for DHFSs, which describe the fuzziness of DHFSs. Finally, a numerical example about pattern recognition is provided to verify the practicality and effectiveness of the developed measures.

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“…Similarly, the determinations of the optimized parameter , the consistency threshold CI 0 , and the consensus threshold CM 0 are omitted in this paper. Furthermore, with the GDM issues becoming increasingly complex in practice, decision makers may feel difficult in evaluating all the alternatives [53,54]; the proposed approaches cannot deal with the GDM problems with incomplete HMPRs, which will be the focus of the future research. According to the literature [45], the fusion of individual preference relations can be solved by the consistency-and consensus-based mathematical programming model; hence, this is also an aspect that the proposed approach needs to be improved.…”

Section: Comparison Analysismentioning

confidence: 99%

Revisiting the Role of Hesitant Multiplicative Preference Relations in Group Decision Making With Novel Consistency Improving and Consensus Reaching Processes

Wang¹,

Shuai²,

Chen³

et al. 2019

IJCIS

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In recent years, hesitant multiplicative preference relation (HMPR) has been a powerful means to represent the evaluation information of decision makers during the pairwise comparison concerning alternatives. As the important parts of group decision making (GDM) issues with HMPRs, the consistency improving and consensus reaching processes have been researched by many scholars; however, the existing approaches present several limitations, including defining the consistency index depend on the other HMPR instead of the original HMPR, improving the consistency and consensus levels of HMPRs independently, and that the high computational complexity of the existing iterative algorithms. To overcome these drawbacks, this paper proposes a mathematical programming model to improve the consistency and consensus levels of HMPRs, simultaneously. First, a consistency index according to multiplicative consistency is put forward to compute the consistency degree of normalized HMPR (NHMPR) after the normalization procedure. Second, a programming model by minimizing the difference between the original NHMPR and the revised NHMPR is developed to obtain the acceptably consistent NHMPR; then, a consistency-based method is constructed to solve the decision making problems with an HMPR. Third, considering the GDM issues, a consistency-and consensus-based programming model is established to obtain the acceptably consistent and consensus NHMPRs, in which the original evaluation information can remain as much as possible. Fourth, the normalized hesitant multiplicative weighted geometric operator is introduced to fuse the revised NHMPRs and an algorithm for GDM is proposed with novel consistency improving and consensus reaching processes. Finally, two numerical examples are applied to show the practicality and advantages of the proposed approaches.

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Missing values estimation and consensus building for incomplete hesitant fuzzy preference relations with multiplicative consistency

Cited by 47 publications

References 46 publications

Measuring Security Durability of Software through Fuzzy-Based Decision-Making Process

Measuring Security Durability of Software through Fuzzy-Based Decision-Making Process

Distance and entropy measures for dual hesitant fuzzy sets

Revisiting the Role of Hesitant Multiplicative Preference Relations in Group Decision Making With Novel Consistency Improving and Consensus Reaching Processes

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