The chapter aims to give computational algorithm to solve a multiobjective non-linear programming problem using Neutrosophic geometric programming technique. As the Neutrosophic optimization technique utilizes degrees of truth-membership, falsity-membership and indeterminacy-membership functions, we made a study of correspondence among those membership functions to see its impact on optimizatio...

In this paper, we will define a new class of sets, called fuzzy neutrosophic weakly- generalized closed then proved some theorems related to definition. After that, studied relations between weakly-generalized sets and α regular pre semi sets.

Game theory plays an important role in numerous decision-oriented real-life problems. Nowadays, many such problems are basically characterized by various uncertainties. Uncertainties come to happen due decision makers' collection of data, intuition, assumption, judgement, behaviour, evaluation and lastly, the problem itself. Fuzzy concept with membership degree made...

In this paper we present the N-norms/N-conorms in neutrosophic logic and set as extensions of T-norms/T-conorms in fuzzy logic and set. Also, as an extension of the Intuitionistic Fuzzy Topology we present the Neutrosophic Topologies. 1. Definition of the Neutrosophic Logic/Set: Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf...

A simplified neutrosophic set (SNS) is a subclass of neutrosophic set and contains a single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS). It was proposed as a generalization of an intuitionistic fuzzy set (IFS) and an interval-valued intuitionistic fuzzy set (IVIFS) in order to deal with indeterminate and inconsistent information. The paper proposes another form of the ...

In this study, we propose an approach to determine the shortest path length between a pair of specified nodes s and t on a network whose edge weights are represented by trapezoidal neutrosophic numbers. Finally, an illustrative example is provided to show the applicability and effectiveness of the proposed approach. Keywords—trapezoidal fuzzy neutrosophic sets; score function; Shortest path pro...

The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with subattributes parameters and proper extension soft to accurately assess deficiencies, anxiety, uncertainty in decision-making. Compared existing research, NHSS can accommodate more uncertainty, which most significant technique for describing fuzzy information decision-making process. main objective fo...

This paper introduces a novel soft computing technique, called the complex neutrosophic soft expert relation (CNSER), to evaluate the degree of interaction between two hybrid models called complex neutrosophic soft expert sets (CNSESs). CNSESs are used to represent two-dimensional data that are imprecise, uncertain, incomplete and indeterminate. Moreover, it has a mechanism to incorporate the p...

In this paper a new branch of philosophy is presented, called neutrosophy, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The Fundamental Thesis: Any idea is T% true, I% indeterminate, and F% false, where T, I, F are standard or non-standard subsets included in the non-standard unit interval K 0, 1 M. The Fundame...