Ranking of Interval Type-2 Fuzzy Numbers using Value and Ambiguity

Chutia, Rituparna; Saikia, Sunayana

doi:10.1109/compe49325.2020.9199989

Cited by 6 publications

(1 citation statement)

References 11 publications

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“…Two important notions, namely value and ambiguity are numerously used, by Chutia, 35,36 Chutia and Saikia, 37,38 Chutia and Chutia, 39 Chutia and Gogoi, 40 Deli and Subas, 27 Biswas et al 28 which are being discussed here, in various methodology of ranking fuzzy numbers as well as IFNs. Although several notions are being used in ranking methodologies, yet these two notions are reliable and robust.…”

Section: The Proposed Methods Of Ranking Svnnmentioning

confidence: 99%

Ordering single‐valued neutrosophic numbers based on flexibility parameters and its reasonable properties

et al. 2021

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Undoubtedly, most of the information conveyed is full of impreciseness or vagueness. In such situation, fuzzy set theory is a proper tool to handle these types of impreciseness or vagueness. Fuzzy numbers are also of different types based on the presence of uncertainty. Neutrosphic numbers are one type of fuzzy number that consists of three types of membership functions, namely, truth, indeterminacy and falsity. In fact, neutrosophic numbers are generalization of intuitionistic fuzzy numbers. These numbers might be used in decision making problems, where it is essential to rank those numbers. So, ordering of these numbers becomes a new trends with more challenges. In this paper, an innovative ranking approach of single-valued neutrosophic number has been put forwarded. The method is based on value, ambiguity and θ function. Value and ambiguity are defined on three functions of the neutrosophic numbers. Further, the reliability of the proposed method is established by considering the reasonable properties of ranking method. One important aspect of ranking neutrosophic numbers is to consider the consistency in ordering the neutrosophic numbers and their corresponding images. It is worth to mention that the current approach consistently ranks

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