Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making

Quek, Shio Gai; Selvachandran, Ganeshsree; Smarandache, Florentín; Vimala, J.; Le, Son Hoang; Bui, Quang-Thinh; Gerogiannis, Vassilis C.

doi:10.3390/math8060965

Cited by 12 publications

(5 citation statements)

References 40 publications

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“…In the future, we will apply the expert weight combination weighting scheme proposed in this paper to situations in real life. We will also formulate this kind of entropy measure and similarity measures for an interval-valued IF set [56], Fermat fuzzy set, spherical fuzzy set, t-spherical fuzzy set, picture fuzzy set, single valued neutrosophic set [55,57], Plithogenic set [58] and linear fuzzy set.…”

Section: Discussionmentioning

confidence: 99%

An Intelligent Expert Combination Weighting Scheme for Group Decision Making in Railway Reconstruction

et al. 2022

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The intuitionistic fuzzy entropy has been widely used in measuring the uncertainty of intuitionistic fuzzy sets. In view of some counterintuitive phenomena of the existing intuitionistic fuzzy entropies, this article proposes an improved intuitionistic fuzzy entropy based on the cotangent function, which not only considers the deviation between membership and non-membership, but also expresses the hesitancy degree of decision makers. The analyses and comparison of the data show that the improved entropy is reasonable. Then, a new IF similarity measure whose value is an IF number is proposed. The intuitionistic fuzzy entropy and similarity measure are applied to the study of the expert weight in group decision making. Based on the research of the existing expert clustering and weighting methods, we summarize an intelligent expert combination weighting scheme. Through the new intuitionistic fuzzy similarity, the decision matrix is transformed into a similarity matrix, and through the analysis of threshold change rate and the design of risk parameters, reasonable expert clustering results are obtained. On this basis, each category is weighted; the experts in the category are weighted by entropy weight theory, and the total weight of experts is determined by synthesizing the two weights. This scheme provides a new method in determining the weight of experts objectively and reasonably. Finally, the method is applied to the evaluation of railway reconstruction scheme, and an example shows the feasibility of the method.

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Section: Discussionmentioning

confidence: 99%

An Intelligent Expert Combination Weighting Scheme for Group Decision Making in Railway Reconstruction

et al. 2022

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“…Sujatha et al (2020) and utilized the plithogenic cognitive map to analyze the data related to the corona virus. Quek et al (2020) presented an entropy measure, while Bala (2020) discussed the information fusion measures for the plithogenic set. Ahmad et al (2021) presented an optimization model for the supply chain problems by utilizing the neutrosophic set features.…”

Section: A Plithogenic Application To Decision-making Problemsmentioning

confidence: 99%

Plithogeny, Plithogenic Set, Logic, Probability and Statistics: A Short Review

Smarandache

2022

JCCE

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“…It is also revealed that the Plithogenic Whole Hyper-Soft Matrix (PWHS Matrix) is a special case of the Plithogenic Subjective Hyper-Super-Soft Matrix (PSHSS Matrix). Additional literature on Hyper-Soft Set and Plithogency can be found in [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Generalized plithogenic whole hypersoft set, PFHSS-Matrix, operators and applications as COVID-19 data structures

Rana

Saeed

Qayyum

et al. 2023

IFS

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This article is a preliminary draft for initiating and commencing a new pioneer dimension of expression. To deal with higher-dimensional data or information flowing in this modern era of information technology and artificial intelligence, some innovative super algebraic structures are essential to be formulated. In this paper, we have introduced such matrices that have multiple layers and clusters of layers to portray multi-dimensional data or massively dispersed information of the plithogenic universe made up of numerous subjects their attributes, and sub-attributes. For grasping that field of parallel information, events, and realities flowing from the micro to the macro level of universes, we have constructed hypersoft and hyper-super-soft matrices in a Plithogenic Fuzzy environment. These Matrices classify the non-physical attributes by accumulating the physical subjects and further sort the physical subjects by accumulating their non-physical attributes. We presented them as Plithogenic Attributive Subjectively Whole Hyper-Super-Soft-Matrix (PASWHSS-Matrix) and Plithogenic Subjective Attributively Whole-Hyper-Super-Soft-Matrix (PSAWHSS-Matrix). Several types of views and level-layers of these matrices are described. In addition, some local aggregation operators for Plithogenic Fuzzy Hypersoft Set (PPFHS-Set) are developed. Finally, few applications of these matrices and operators are used as numerical examples of COVID-19 data structures.

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Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making

Cited by 12 publications

References 40 publications

An Intelligent Expert Combination Weighting Scheme for Group Decision Making in Railway Reconstruction

An Intelligent Expert Combination Weighting Scheme for Group Decision Making in Railway Reconstruction

Plithogeny, Plithogenic Set, Logic, Probability and Statistics: A Short Review

Generalized plithogenic whole hypersoft set, PFHSS-Matrix, operators and applications as COVID-19 data structures

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