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- Title
Classification of trapezoidal bipolar neutrosophic number, de-bipolarization technique and its execution in cloud service-based MCGDM problem.
- Authors
Chakraborty, Avishek; Mondal, Sankar Prasad; Alam, Shariful; Dey, Arindam
- Abstract
Neutrosophic set can deal with the uncertainties related to the information of any decision making problem in real life scenarios, where fuzzy set may fail to handle those uncertainties properly. In this study, we present the perception of trapezoidal bipolar neutrosophic numbers and its classification in different frame. We introduce the idea of disjunctive structures of trapezoidal bipolar neutrosophic numbers namely type-1 trapezoidal bipolar neutrosophic number, type-2 trapezoidal bipolar neutrosophic numbers, and type-3 trapezoidal bipolar neutrosophic number based on the perception of dependency among membership functions in neutrosophic set. In any neutrosophic decision-making problem, the decision maker uses the comparison of neutrosophic numbers to choose among alternatives solutions. Here, we introduce a ranking method, i.e., De-bipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique. We also describe the utility of trapezoidal bipolar neutrosophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoidal bipolar arena which is more ethical, precise and reliable in neutrosophic field.
- Subjects
GROUP decision making; STATISTICAL decision making; ARENAS; DECISION making; MEMBERSHIP functions (Fuzzy logic); CLASSIFICATION
- Publication
Complex & Intelligent Systems, 2021, Vol 7, Issue 1, p145
- ISSN
2199-4536
- Publication type
Article
- DOI
10.1007/s40747-020-00170-3