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

Abstract

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

A framework for evaluating sustainable renewable energy sources under uncertain conditions: A case study

“…This section provides the essential background to, and basic concepts of, the preliminaries related to a neutrosophic set. [63][64][65] Definition 1 (Abdel-Basset et al 66 ). Let X be a space of points (objects) and  x X.…”

“…This section provides the essential background to, and basic concepts of, the preliminaries related to a neutrosophic set 63–65 …”

Monitoring Betaine Using Interval Time Between Events Control Chart

“…Aslam ( 29 ) designed the charts for an exponential distribution using NS. More information on NS can be seen in Alhabib et al ( 30 ) and Chutia et al ( 31 ). More applications of the neutrosophic numbers can be seen in Ye ( 32 , 33 ), Ye et al ( 34 ), Mondal et al ( 35 , 36 ), Pramanik and Banerjee ( 37 ), and Maiti et al ( 38 ).…”