Abstract
AbstractIn 2013, S.U. Malini introduced the idea of octagonal fuzzy numbers and used it to solve problems in real-life situations. In this theory, the idea of Single Valued Linear Octagonal Neutrosophic Numbers (SVLONNs) is introduced. Cut sets for truth membership, indeterminacy membership, and falsity membership degrees are defined and using the same arithmetic operations such as addition and scalar multiplication on the collection of SVLONNs are investigated. The value and ambiguity indices of the truth membership, indeterminacy membership and falsity membership degrees for SVLONNs are put forth and a new ranking method on SVLONNs is developed based on value and ambiguity indices. A procedure involving the ranking is proposed to solve the problem of choosing the best alternatives in a decision-making problem involving more attributes, which are expressed in terms of SVLONNs and the same is illustrated with a real-life hypothetical situation.
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