2022
DOI: 10.1111/exsy.13104
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Novel distance and entropy definitions for linear Diophantine fuzzy sets and an extension of TOPSIS (LDF‐TOPSIS)

Abstract: The literature of multiple attribute decision making (MADM) is fruitful since there are various and successful applications of different fuzzy set extensions such as intuitionistic, Pythagorean and q-Rung orthopair fuzzy sets (IFS, PFS and q-ROFS).Besides their powerful aspects, some definitional limitations are known. In order to eradicate these boundaries regarding the definitions of membership and nonmembership degrees, linear Diophantine fuzzy set (LDFS) concept has been recently emerged. By considering tw… Show more

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Cited by 17 publications
(7 citation statements)
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“…For example, some MCDM methods, such as AHP and TOPSIS, require pairwise comparison matrices [78] that may be difficult to obtain or may involve subjective judgments. Other methods, such as fuzzy logic and entropy, can handle uncertain and imprecise information, but may require significant expertise in fuzzy set theory or information theory [79]. Therefore, it is important to consider the availability and quality of data and expertise when selecting an MCDM technique.…”
Section: Mcdm Methodsmentioning
confidence: 99%
“…For example, some MCDM methods, such as AHP and TOPSIS, require pairwise comparison matrices [78] that may be difficult to obtain or may involve subjective judgments. Other methods, such as fuzzy logic and entropy, can handle uncertain and imprecise information, but may require significant expertise in fuzzy set theory or information theory [79]. Therefore, it is important to consider the availability and quality of data and expertise when selecting an MCDM technique.…”
Section: Mcdm Methodsmentioning
confidence: 99%
“…To improve the universality of the proposed model, this paper comprehensively considered the three optimization targets of the maintenance cost, availability, and reliability of systems. It adopted a weighted Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) approach [51] to construct a comprehensive optimization target. The recommended maintenance time was given through optimization of it.…”
Section: Comprehensive Optimization Targetmentioning
confidence: 99%
“…The information representation under LPFS has been extensively explored in MAGDM methods (Ding & Liu, 2019; Liu et al, 2019; Villa Silva et al, 2021). In addition, it is also combined with a variety of classical tools to solve practical decision‐making problems, including TOPSIS (Gül & Aydoğdu, 2022; Sarkar & Biswas, 2021), TODIM (Deng & Gao, 2019), CODAS (He et al, 2020). Although many works about LPFS have been done previously, there are still some research gaps in the operational laws that the AO based on and the aggregation function.…”
Section: Introductionmentioning
confidence: 99%