New Unconventional Technique to Decipher MOTP in Neutrshopic Environment

New Unconventional Technique to Decipher MOTP in Neutrshopic Environment

Krishna Prabha Sikkannan (PSNA College of Engineering and Technology, India) and Vimala Shanmugavel (Mother Terasa Womens University, India)
Copyright: © 2020 |Pages: 14
DOI: 10.4018/978-1-7998-2555-5.ch011

Abstract

Many papers have been proposed so far in the field of fuzzy and intuitionistic fuzzy multi-objective transportation problems. An innovative technique to unravel multi-objective neutroshopic (NS) transportation problem called mean method is proposed in this chapter. The objectives which have different units to membership values are aggregated by finding the mean of the values. A new algorithm is developed in order to solve the problems of this type is explained in this work. A numerical example is instigated to demonstrate the technique and the consequence is compared with VAM's method.
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1. Introduction

The routine actions of our life are primarily allied with shipping and logistics. Transportation pacts with allotment of resources from delivery point to target point. In order to precede with a number of inconsistency and incommensurable goal function the multi-objective transportation problem (MOTP) is structured. To reduce the hauling cost different methods like North West corner, least cost method, Vogel’s approximation method are applied. As NS is able to deal indecisive, conflicting and also undefined information, the model of NS is a noteworthy technique to covenant with real methodical and engineering. Single valued neutrosophic acquires extra contemplation and acquire optimized elucidation than other types of fuzzy sets because of accurateness, adoptability and link to a system. Neutrosophic set hypothesis to hold vague, unsure and imprecise problems which cannot be dealt by fuzzy and its assorted kinds was exemplified by Samarandache (2005) in 1995. Smarandache (2005) and Wang et al (2010) projected a subclass of the neutrosophic sets named single-valued neutrosophic sets (SVNS). NS is acquired by three autonomous mapping such as truth (T), indeterminacy (I) and falsity (F) and takes values from ]0-, 1+[. By merging triangular fuzzy numbers (TFNs) and single valued neutrosophic set (SVNS) Biswas et al. (2016) introduced the idea of triangular fuzzy neutrosophic sets (TFNS). Trapezoidal fuzzy neutrosophic set was proposed by Ye (2015) and he urbanized weighted arithmetic and geometric averaging for TFNS.Vogel’s approximation technique for solving the Transportation Problem was premeditated by Harvey and Shore (1970). Deshumukh (2012) offered a pioneering technique for unraveling Transportation Problem. Sudhakar, Arunnsankar, and Karpagam (2012) have given a modified approach for solving transportation problem. Transportation Problems with mixed restrictions have been resolved by Pandian and Natarajan (2010). Real life transportation problem in neutrosophic environment is deliberated by Akansha Singh et al (2017). Broumi et al. (2018) proposed an innovative system and technique for the planning of telephone network using NG. Broumi et al. (2019) proposed SPP under interval valued neu- trosophic setting. Defuzzification of triangular neutrosophic numbers by the score function is given by Said Broumi et al (2016). By applying fuzzy linear programming for MOTP Bit et al (1992) arrived with an optimal solution. Trust-region globalization stratagem was offered by Yousria et al (2012).Two different techniques for solving a multi-objective, multi-item solid transportation problem with fuzzy coefficients was proposed by Kundu et al (2013). An alternative method to unravel MOTP by was proposed by Yeola et al (2016).

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