Abstract
In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.
Highlights
The theory of uncertainty plays a key role in applied mathematical modeling
The formation and de‐neutrosophication of the corresponding number can be very important for the researcher who deals with uncertainty and decision‐making problems
The formation and de-neutrosophication of the corresponding number can be very important for the researcher who deals with uncertainty and decision-making problems
Summary
Uncertainty theory playsanimportant role in modeling sciences and engineering problems. Here, give some info about uncertain parameters, and show how they differ from eachother using the concept of uncertainty using some definition, flowcharts, and diagrams. We recommend the researcher to take the uncertain parameter as a parametric interval valued neutrosophic number. Some basic differences between some uncertain parameters: If we take Interval number [1] we can see, 2. If we take Fuzzy number [2,3], we can see, The concept of belongingness of the elements comes. If we take Intuitionistic fuzzy number [4], we can see, The use of membership and non-membership function is present. If we take Neutrosophic fuzzy number [5], we can see, The concept truthiness, falsity, andand indeterminacy the elements comes.
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