Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem

Abstract

In this research article, we envisage the neutrosophic number from various distinct rational perspectives & viewpoints to give it a look of a conundrum. We focused & analysed various types of linear and non-linear generalized trapezoidal neutrosophic numbers which serves an indispensable role for uncertainty concept related problem. We also introduce the idea of de-neutrosofication for trapezoidal neutrosophic number using an influx of different logical & innovative methods by which we move with a manifesto to convert a neutrosophic number into a crisp number. Using this concepts of de-neutrosophication, we analyze some real life problem like networking Crash model problem and job-sequencing problem of operation research field when the numbers are in trapezoidal neutrosophic ambience. We also compare our specified result with previously defined score and accuracy function and try to present some interesting and better result without any possible fiasco. This noble thought will help us to solve a plethora of daily life problems in neutrosophic arena.

A novel logarithmic operational law and aggregation operators for trapezoidal neutrosophic number with MCGDM skill to determine most harmful virus

“…x, y, v, w) be any TNN, then the de-Neutrosophication value of A (utilizing Removal Area technique) is given by Chakraborty et al [10] as…”

“…Recently, researchers have introduced pentagonal [4], hexagonal [5], heptagonal [6] fuzzy numbers and its application in different fields. Wang et al manifested the conception of single-valued neutrosophic set (SVNS) [7] and interval neutrosophic set (INS) [8] which are subclasses of NSs and many other recent works [9][10][11][12] have improved and bring innovation into the NS hypothesis. Liu and Yuan [13] proposed the idea of triangular intuitionistic fuzzy set (TIFN) which is a combination of triangular fuzzy number and intuitionistic fuzzy number.…”

Safety modelling of marine systems using neutrosophic logic

“…By area removal method 38,39 for deneutrosophication of single-valued trapezoidal neutrosophic number, deneutrosophication of linear trapezoidal neutrosophic number is given by…”

Cylindrical neutrosophic single‐valued number and its application in networking problem, multi‐criterion group decision‐making problem and graph theory

“…Also, comparison analysis is done with the established methods in each case and sensitivity analysis is performed in MCGDM technique. Some important articles [17][18][19][20][21][22][23] are also published in this field recently.…”