Fuzzy risk analysis using a new technique of ranking of generalized trapezoidal fuzzy numbers

Patra, Kartik

doi:10.1007/s41066-021-00255-5

Cited by 28 publications

(11 citation statements)

References 31 publications

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Order By: Relevance

“…Therefore, the intuitive order perception will be . From Table 1, the ordering outcome of our proposed method is the same as the intuitive order perception and the ranking results of the other methods in Cheng [4], Abbasbandy and Asady [6], Asady and Zendehnam [7], Abbasbandy and Hajjari [9], Nasseri et al [10] and Patra [30]. As a result, the proposed method can be used reliably to rank the fuzzy numbers.…”

Section: Comparative Numerical Examplesmentioning

confidence: 70%

“…From Table 1, the ordering results of our proposed technique are the same as the logical order outcome. Other approaches Cheng [4], Abbasbandy and Asady [6], Asady and Zendehnam [7], Abbasbandy and Hajjari [9], Nasseri et al [10] also demonstrate the same ordering results, whereas Patra [30] infers counterintuitive ranking results as . Hence, the proposed approach has intuitive ordering strength.…”

Section: Comparative Numerical Examplesmentioning

confidence: 85%

“…From Table 2, the ordering results of the proposed approach are found to be the same as those of logical perception. Other approaches, Cheng [4], Abbasbandy and Asady [6], Asady and Zendehnam [7], Abbasbandy and Hajjari [9], Nasseri et al [10], and Patra [30] also infer the same intuitive ordering outcomes. Hence, the proposed technique has a strong discrimination power.…”

Section: Comparative Numerical Examplesmentioning

confidence: 87%

“…Sen et al [29] suggested the Similarity Measure of Gaussian Fuzzy Numbers and Its Application to the job selection procedure. Patra [30] presented fuzzy risk analysis based on ranking generalized trapezoidal fuzzy numbers using area and perimeter. Ranking fuzzy numbers using the unified integral value that multiplies two different discriminatory components of the fuzzy number is presented in Prasad and Sinha [31].…”

Section: Introductionmentioning

confidence: 99%

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Ordering Fuzzy Numbers with Weighted Mean Values and Their Application to Multi-Criteria Decision-Making Problem

Prasad,

Sinha,

Sinha

2023

J. Sci. Res.

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The most important aspect of fuzzy numbers is their ordering, which ensures a wide range of their applications in professional life and many academic applied models like linguistic decision-making and fuzzy risk analysis. Even though many researchers have presented various methods, there is still a lot of interest and scope for studies to address the weakness of methods. This paper proposes an approach for ordering generalized fuzzy numbers using weighted mean values (centroid values) of the left and the right fuzziness regions and exponential values of the altitude of the fuzzy number. The proposed method can order two or more fuzzy numbers simultaneously, irrespective of their linear or non-linear membership functions. Furthermore, the proposed method consistently orders the symmetrical fuzzy numbers, the partnered image of the fuzzy number, and the fuzzy numbers that depict the compensation of areas. The advantages of the proposed approach are demonstrated through numerical examples with various types of fuzzy numbers and comparisons with the existing techniques published in the literature. Finally, the proposed method is effectively applied to solve a linguistic multi-criteria decision-making problem related to the stock market.

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Section: Comparative Numerical Examplesmentioning

confidence: 70%

Section: Comparative Numerical Examplesmentioning

confidence: 85%

Section: Comparative Numerical Examplesmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ordering Fuzzy Numbers with Weighted Mean Values and Their Application to Multi-Criteria Decision-Making Problem

Prasad,

Sinha,

Sinha

2023

J. Sci. Res.

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“…A number of researchers are contributing consistently towards the development of fuzzy set-based research works. Presently application of fuzzy set theory is found in many areas such as artificial intelligence (Hung and Yang 2004 ), decision-making (Xu and Yager 2008 ; De et al 2019 , 2020 ; Chellamani et al 2021 ; Sun et al 2021 ), optimization (Kumar and Kaur 2012 ), Pattern Recognition (Hung and Yang 2004 ; Gupta and Kumar 2021 ), weather forecasting (Tham et al 2002 ), marketing (Patra 2022 ), medical science (Liu and Wang 2007 ; Sun et al 2021 ; Verma and Rohtagi 2022 ), transportation (Kumar and Kaur 2012 ), social network analysis (Poulik and Ghorai 2021 ), etc. Fuzzy sets are considered as precise mathematical tools for processing data which is derived from vague information.…”

Section: Introductionmentioning

confidence: 99%

Preferred hospitalization of COVID-19 patients using intuitionistic fuzzy set-based matching approach

Das

Kar

2022

Granul. Comput.

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Preferable hospitalization of COVID-19 patients has become an urgent and challenging task to save lives amidst the unexpected rising of the 3rd wave, where fuzzy set and matching techniques are considered due to their inherent capability to deal with uncertain suitable pair selection. The matching technique has been widely used to solve decision-making problems due to its capability to determine the suitable pair between the objects of two disjoint sets, whereas fuzzy set is well known to manage uncertain situations. This paper extends the matching technique using fuzzy set and proposes a novel fuzzy matching approach to solve uncertain decision-making problems. We also extend the fuzzy matching approach in the framework of an intuitionistic fuzzy set. A relation between the matching technique and fuzzy set theory is established by developing the preference sequence of the elements. The fuzzy entropy is used to measure the closeness among the elements between two distinct sets. Applicability of the proposed approach is measured by providing an illustrative case study concerned with the preferred hospitalization of the COVID-19 patients. Finally, a comparative study is given to analyze the effectiveness of the proposed approach, where the intuitionistic fuzzy set-based matching approach shows better performance compared to fuzzy and conventional matching based approach. For experimentation purpose, this study uses 9424 patients and 234 hospitals with a total available capacity of 18,024 beds.

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A new ranking principle for ordering generalized trapezoidal fuzzy numbers based on diagonal distance, mean and its applications to supplier selection

Bihari,

Jeevaraj,

Kumar

2023

Soft Comput

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Fuzzy risk analysis using a new technique of ranking of generalized trapezoidal fuzzy numbers

Cited by 28 publications

References 31 publications

Ordering Fuzzy Numbers with Weighted Mean Values and Their Application to Multi-Criteria Decision-Making Problem

Ordering Fuzzy Numbers with Weighted Mean Values and Their Application to Multi-Criteria Decision-Making Problem

Preferred hospitalization of COVID-19 patients using intuitionistic fuzzy set-based matching approach

A new ranking principle for ordering generalized trapezoidal fuzzy numbers based on diagonal distance, mean and its applications to supplier selection

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