Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Pramanik, R.; Baidya, Dilip Kumar; Dhang, Nirjhar

doi:10.1007/s11709-021-0698-8

Cited by 14 publications

(2 citation statements)

References 47 publications

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“…Because FS can only express approval, and can only use one value to express the DM's approval attitude, it cannot express the DM's approval in multiple dimensions, so it has defects in dealing with some MAGDM problems. Some multi-dimensional FSs were built and extensively utilized in many fields (Liang et al, 2013;Lima et al, 2021;Pramanik et al, 2021). Although the FSs that have been built can well describe the situation that DMs approve, it is powerless to describe disapproval.…”

Section: Introductionmentioning

confidence: 99%

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Ning

Lin

Wei

et al. 2023

Technological and Economic Development of Economy

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Probabilistic dual hesitant fuzzy set (PDHFS) is a more powerful and important tool to describe uncertain information regarded as generalization of hesitant fuzzy set (HFS) and dual HFS (DHFS), not only reflects the hesitant attitude of decision-makers (DMs), but also reflects the probability information of DMs. Score function of fuzzy number and weighting method are very important in multi-attribute group decision-making (MAGDM) issues. In many fuzzy environments, the score function and entropy measure have been proposed one after another. Firstly, based on the detailed analysis of the existed score function of PDHF element (PDHFE) and with the help of previous references, we build a novel score function for PDHFE. Secondly, a combined weighting method is built based on the minimum identification information principle by fusing PDHF entropy and Criteria Importance Through Intercriteria Correlation (CRITIC) method. Thirdly, a novel PDHF MAGDM approach (PDHF-EDAS) is built by extending evaluation based on distance from average solution (EDAS) approach to the PDHF environment to solve the issue that the decision attribute information is PDHFE. Finally, the practicability and effectiveness of the PDHF MAGDM technique is verified by suppliers selection (SS) and comparing analysis with existing methods.

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Section: Introductionmentioning

confidence: 99%

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Ning

Lin

Wei

et al. 2023

Technological and Economic Development of Economy

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show abstract

“…Since the increasing complexity of decision-making problems introduce more uncertain information in real world, it is quite difficult to quantify criteria of each alternative with exact numbers. To effectively deal with uncertain information, Zedeh (1996) proposed an important tool, named fuzzy set, which introduces membership degrees to quantify the considered criteria and is sufficient for certain applications (Fu, Miao & Wu, 2021;Pramanik, Baidya & Dhang, 2021). However, only using membership degrees as criteria cannot separately express the negative and refusal degrees.…”

Section: Introductionmentioning

confidence: 99%

Power Muirhead mean operators of interval-valued intuitionistic fuzzy values in the framework of Dempster–Shafer theory for multiple criteria decision-making

et al. 2022

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There have been many aggregation operators of interval intuitionistic fuzzy values (IVIFVs) for solving multiple criteria decision-making problems with IVIFVs. Each of these operators can work well in its specific context. However, they could generate irrational sorting results because of a few limitations. In this paper, two novel power Muirhead mean operators of IVIFVs under the Dempster-Shafer theory framework which are free of the limitations of existing operators of IVIFVs are presented. The expressions of these operators are first constructed. Then their mathematical properties are studied and proved. After that, a method to solve multiple criteria decision-making problems with IVIFVs is proposed based on the presented operators. Finally, a practical example is introduced to illustrate the application of the proposed method and several qualitative comparisons to some existing operators of IVIFVs are carried out to demonstrate the effectiveness and advantages of the proposed method.

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Some novel distance and similarity measures for probabilistic dual hesitant fuzzy sets and their applications to MAGDM

Ning

Wei

Guo

2022

Int. J. Mach. Learn. & Cyber.

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Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Cited by 14 publications

References 47 publications

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Power Muirhead mean operators of interval-valued intuitionistic fuzzy values in the framework of Dempster–Shafer theory for multiple criteria decision-making

Some novel distance and similarity measures for probabilistic dual hesitant fuzzy sets and their applications to MAGDM

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