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首页> 外文期刊>Artificial Intelligence Review: An International Science and Engineering Journal >Ranking of single-valued neutrosophic numbers through the index of optimism and its reasonable properties
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Ranking of single-valued neutrosophic numbers through the index of optimism and its reasonable properties

机译：Ranking of single-valued neutrosophic numbers through the index of optimism and its reasonable properties

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摘要

In this paper an innovative method of ranking neutrosophic number based on the notions of value and ambiguity of a single-valued neutrosophic number is being developed. The method is based on the convex combination of value and ambiguity of truth-membership function with the sum of values and ambiguities of indeterminacy-membership and falsity-membership functions. This convex combination is also termed as an index of optimism. The index of optimism, lambda=1, is termed as optimistic decision-maker as it considers the value and the ambiguity of the truth-membership function, ignoring the contributions from indeterminacy-membership and falsity-membership functions. Similarly, the index of optimism, lambda=0, is termed as pessimistic decision-maker as it considers the values and the ambiguities of the indeterminacy-membership and falsity-membership functions, ignoring the contribution from truth-membership function. Further, the index of optimism, lambda=0.5, is termed as moderate decision-maker as it considers the values and the ambiguities of all the membership functions. The approach is a novel as it completely oath to follow the reasonable properties of a ranking method. It is worth to mention that the current approach consistently ranks the single-valued neutrosophic numbers as well as their corresponding images.

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