Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem

Abstract

In many real-life situations, it is often observed that the degree of indeterminacy (neutrality) plays an important role along with the
satisfaction and dissatisfaction levels of the decision maker(s) (DM(s)) in any decision making process. Due to some doubt or hesitation, it
may necessary for DM(s) to take opinions from experts which leads towards a set of conflicting values regarding satisfaction, indeterminacy
and dis-satisfaction level of DM(s). In order to highlight the above-mentioned insight, we have developed an effective framework which reflects
the reality involved in any decision-making process. In this study, a multiobjective nonlinear programming problem (MO-NLPP) has been
formulated in the manufacturing system. A new algorithm, neutrosophic hesitant fuzzy programming approach (NHFPA), based on singlevalued neutrosophic hesitant fuzzy decision set has been proposed which contains the concept of indeterminacy hesitant degree along with truth
and falsity hesitant degrees of different objectives. In order to show the validity and applicability of the proposed approach, a numerical example
has been presented. The superiority of the proposed approach has been shown by comparing with other existing approaches. Based on the
present work, conclusions and future scope have been presented