An Extended TOPSIS Method Based on Gaussian Interval Type-2 Fuzzy Set

Wang, Huidong; Yao, Jinli; Yan, Jun; Dong, Mingguang

doi:10.1007/s40815-019-00670-6

Cited by 11 publications

(2 citation statements)

References 23 publications

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“…VlseKriterijuska Optimizacija I Kompromisno Resenje (VIKOR) approach is used to rank different alternatives based on some criteria. In the first step of the calculation process of VIKOR approach based on interval type 2 fuzzy sets, the decision matrix is defined (Bolukbas, Celik, & Guneri, 2017; Gul et al, 2016; Wang et al, 2019). The details are demonstrated in Equations (27)–(30),

Def ((), x_{italicij}) = Rank {({\overset{false~}{x}}_{ij})}_{m \times n} = M_{1} ((), {\overset{A}{true}}_{i}^{U}) + M_{1} ((), {\overset{A}{true}}_{i}^{L}) + M_{2} ((), {\overset{A}{true}}_{i}^{U}) + M_{2} ((), {\overset{A}{true}}_{i}^{L}) + M_{3} ((), {\overset{A}{true}}_{i}^{U}) + M_{3} ((), {\overset{A}{true}}_{i}^{L}) - \frac{1}{4} ((), S_{1} ((), {\overset{A}{true}}_{i}^{U}) + S_{1} ((), {\overset{A}{true}}_{i}^{L}) + S_{2} ((), {\overset{A}{true}}_{i}^{U}) + S_{2} ((), {\overset{A}{true}}_{i}^{L}) + S_{3} ((), {\overset{A}{true}}_{i}^{U}) + S_{3} ((), {\overset{A}{true}}_{i}^{L}) + S_{4} ((), {\overset{A}{true}}_{i}^{U}) + S_{4} ((), {\overset{A}{true}}_{i}^{L})) + H_{1} ((), {\overset{A}{true}}_{i}^{U}) + H_{1} ((), {\overset{A}{true}}_{i}^{L}) + H_{2} ((), {\overset{A}{true}}_{i}^{U}) + H_{2} ((), {\overset{A}{true}}_{i}^{L}),

<...>…”

Section: Methodsmentioning

confidence: 99%

Stochastic hybrid decision‐making based on interval type 2 fuzzy sets for measuring the innovation capacities of financial institutions

2020

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This study aims to construct a hybrid decision‐making approach to the stochastic evaluation for the innovation capacity of financial institutions. For this purpose, interval type 2 fuzzy DEMATEL‐ANP is used for weighting the criteria and dimensions. Additionally, TOPSIS and VIKOR methods based on interval type 2 fuzzy sets are considered to rank the alternatives. The novelty of the study is to propose a set of criteria and dimensions of innovation capacity with the supported literature. Another novelty is to propose an extended method of DEMATEL‐ANP by using interval type 2 fuzzy sets as well as an integrated method of interval type 2 fuzzy stochastic decision‐making with the Monte Carlo simulation. The results indicate that organizational dimension of innovation capacities has the highest importance between the set of criteria and the state‐owned banks have been more appropriate than both the private and foreign banks for generating the innovation capacities in the financial institutions. However, the analysis illustrates that stochastic decision‐making models could provide more extensive results than the conventional methods including the expert priorities. This study could be also extended by using different multicriteria decision‐making methods such as MOORA and ELECTRE and also, the cross‐country analysis could be applied for the future studies.

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Def ((), x_{italicij}) = Rank {({\overset{false~}{x}}_{ij})}_{m \times n} = M_{1} ((), {\overset{A}{true}}_{i}^{U}) + M_{1} ((), {\overset{A}{true}}_{i}^{L}) + M_{2} ((), {\overset{A}{true}}_{i}^{U}) + M_{2} ((), {\overset{A}{true}}_{i}^{L}) + M_{3} ((), {\overset{A}{true}}_{i}^{U}) + M_{3} ((), {\overset{A}{true}}_{i}^{L}) - \frac{1}{4} ((), S_{1} ((), {\overset{A}{true}}_{i}^{U}) + S_{1} ((), {\overset{A}{true}}_{i}^{L}) + S_{2} ((), {\overset{A}{true}}_{i}^{U}) + S_{2} ((), {\overset{A}{true}}_{i}^{L}) + S_{3} ((), {\overset{A}{true}}_{i}^{U}) + S_{3} ((), {\overset{A}{true}}_{i}^{L}) + S_{4} ((), {\overset{A}{true}}_{i}^{U}) + S_{4} ((), {\overset{A}{true}}_{i}^{L})) + H_{1} ((), {\overset{A}{true}}_{i}^{U}) + H_{1} ((), {\overset{A}{true}}_{i}^{L}) + H_{2} ((), {\overset{A}{true}}_{i}^{U}) + H_{2} ((), {\overset{A}{true}}_{i}^{L}),

<...>…”

Section: Methodsmentioning

confidence: 99%

Stochastic hybrid decision‐making based on interval type 2 fuzzy sets for measuring the innovation capacities of financial institutions

2020

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“…The PHFS is more consistent with behavior of DMs when making decisions, therefore, it is utilized in many fields. The TOPSIS method has been extended in Interval-Valued Pythagorean Fuzzy environment [46], Gaussian Interval Type-2 Fuzzy [47], Hesitant Fuzzy Linguistic environment [48] and so on.…”

Section: Introductionmentioning

confidence: 99%

Extended GRA Method Based on Cumulative Prospect Theory with Probabilistic Hesitant Fuzzy Information for MAGDM and its Application to Green Supplier Selection

Liao

Wei

Chen

2021

Preprint

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An extended grey relational analysis (GRA) method is introduced in this article to reduce the limitations of the classical GRA method using the cumulative prospect theory (CPT) which takes into account psychological factors such as the risk appetite of decision makers. Moreover, the circumstance of probabilistic hesitant fuzzy (PHF) which assigns probabilistic values to DMs’ different levels of hesitation shows its superiority when making decisions in a complex environment. Meanwhile the weighting vector of each attribute is calculated according to the entropy which is calculated by the different prospect decision elements. Thus, in this paper, we proposed an extended GRA method based on cumulative prospect theory in the probabilistic hesitant fuzzy circumstance and applying the model in the selection of the green supplier. At last, the comparative analysis and the simulation analysis are made to show the practicability of this newly proposed method.

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Irregular convolution strategy based tensorized type-2 single layer feedforward network

Zhao

Huang

et al. 2023

Int. J. Mach. Learn. & Cyber.

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An Extended TOPSIS Method Based on Gaussian Interval Type-2 Fuzzy Set

Cited by 11 publications

References 23 publications

Stochastic hybrid decision‐making based on interval type 2 fuzzy sets for measuring the innovation capacities of financial institutions

Stochastic hybrid decision‐making based on interval type 2 fuzzy sets for measuring the innovation capacities of financial institutions

Extended GRA Method Based on Cumulative Prospect Theory with Probabilistic Hesitant Fuzzy Information for MAGDM and its Application to Green Supplier Selection

Irregular convolution strategy based tensorized type-2 single layer feedforward network

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