Some applications of vague sets

Kumar, P.K. Kishore; Rashmanlou, Hossein; Firouzian, Siamak; Jouybari, Mostafa Nouri

doi:10.1504/ijaip.2023.130811

Cited by 2 publications

(2 citation statements)

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“…In 2020, Alhazaymeh et al introduced cubic vague set and presented its application in decision making [1]. In 2023, Kumar et al gave a concise note on vague set theory [21]. They applied vague set theory in career determination using assumed data.…”

Section: Related Workmentioning

confidence: 99%

Generalized Fuzzy Technique and Its Consistent Assessment in Multi-criteria Decision Making of Medical Decisions

Kumar,

Sharma

2024

Preprint

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Multi-criteria decision making (MCDM) is introduced using trapezoidal vague numbers (TVNs) in medicine. Initially concepts of centroid and signed distance are generalized for TVNs. We also provide some desirable properties of the proposed distance measure. The decision making involves the medical diagnostic problem to reduce the vagueness and non-specificity from its environment. In this MCDM, each symptom is classified into some criteria. States of the patients, weights for the existing symptoms are assumed as vague point entries and relations of symptom criteria and diseases are considered using trapezoidal vague number entries. The usefulness of the developed approach is when it shows its capability and validity of the delivery. A numerical computation is illustrated with the whole procedure of the decision making. To show the capability and distinctness of the proposed methodology, a comparative discussion for outcomes is given with pre existing method. Present method coincides with existing fuzzy based method for the initial diagnosis while possibility differences for patient P1 and patient P2 range from 1–16.3% by the method based on existing traditionally fuzzy approach and in present approach these differences range from 2.15–7.46%. In the present approach, addition to the membership, another function called non membership is taken that contributes the upper bound of membership. Between these two memberships the hesitation part is dealt sophisticatedly. Also consideration of trapezoidal vague number as membership grade than the point estimation handles the blur cloud of association effectively.

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Section: Related Workmentioning

confidence: 99%

Generalized Fuzzy Technique and Its Consistent Assessment in Multi-criteria Decision Making of Medical Decisions

Kumar,

Sharma

2024

Preprint

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“…Vague sets [19] are an extension of fuzzy sets [20] for dealing with problems of vagueness or uncertainty. Fuzzy sets extend the boundaries of classical set theory, allowing elements to belong to a set to varying degrees between 0 and 1.…”

Section: Vague Setsmentioning

confidence: 99%

Linear Consensus Protocol Based on Vague Sets and Multi-Attribute Decision-Making Methods

Yang,

Tsai

2024

Electronics

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This paper proposes a linear consensus protocol QuickBFT based on Vague sets and multi-attribute decision-making methods. QuickBFT simplifies the communication process based on the HotStuff protocol, reduces the four-stage communication to three-stage communication, and reduces the consensus delay. Furthermore, we introduce the Vague set and multi-attribute decision-making theory into the consensus protocol and propose a new leader node selection algorithm, which can prevent Byzantine nodes from becoming leader nodes, thereby improving the protocol performance when the leader node is attacked. Experimental results show that the throughput of QuickBFT is slightly higher than that of the HotStuff protocol without Byzantine nodes, and the consensus delay is reduced by 20%. In the presence of Byzantine nodes, the throughput of QuickBFT is increased by 80% compared with the HotStuff protocol, and the consensus delay is reduced by 60%.

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Some applications of vague sets

Cited by 2 publications

References 0 publications

Generalized Fuzzy Technique and Its Consistent Assessment in Multi-criteria Decision Making of Medical Decisions

Generalized Fuzzy Technique and Its Consistent Assessment in Multi-criteria Decision Making of Medical Decisions

Linear Consensus Protocol Based on Vague Sets and Multi-Attribute Decision-Making Methods

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