Pentapartitioned Neutrosophic Fuzzy Optimization Method for Multi-objective Reliability Optimization Problem

Abstract

Fuzzy logic is an important mathematical tool that deals with uncertainty and imprecision in decision-making processes. The prevalent frameworks, known as neutrosophic sets, study the connection of neutralities with various ideational spectra in addition to generalizing concept of fuzzy sets. Using a penta-partitioned neutrosophic fuzzy environment, a novel optimization technique is proposed in this study. Proposed optimization technique is an expansion of fuzzy optimization, intuitionistic fuzzy optimization (IFO), single-valued neutrosophic optimization (NSO) and four valued neutrosophic optimization (FVNO). Here, the neutrosophic set's
indeterminacy term is broken down into three components: contradiction (C), unknown (U), ignorance (I). To demonstrate the applicability and effectiveness of the suggested approach a numerical example is solved and the outcomes are contrasted with those of other methods already in use by cumulative percentage gap and sum of optimal values. Finally, a multi objective reliability
optimization model of LCD display unit is solved by this method.