Fuzzy Neutrosophic Quadratic Programming Problem As A Linear Complementarity Problem

Document Type : Primary Research paper

Authors

1 PG & Research Department of Mathematics ,Idhaya College for Women (Affiliated to Bharathidasan University, Tiruchirappalli) Kumbakonam, Tamilnadu, India

2 PG & Research Department of Mathematics T.B.M.L College (Affiliated to Bharathidasan University, Tiruchirappalli) Porayar , Tamilnadu, India

Abstract

In this paper, a new approach for solving fuzzy neutrosophic quadratic programming problem (FNQPP) is suggested. Here, all the fuzzy coefficients in the objective functions and constraints are replaced by single valued triangular neutrosphic numbers. The problem of quadratic programming with triangular neutrosphic number coefficients is reduced to a Fuzzy Neutrosophic Linear Complementarity problem (FNLCP) and an algorithm is proposed to solve the formulated model. The effectiveness of the proposed method is illustrated by means of an numerical example.

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