A fuzzy block–dripping method (FBDM) has been proposed to find the best compromise solution and efficient solutions of the bottleneck bi-criteria transportation problem under uncertainty. The procedure of the proposed method is illustrated by numerical example.

Anuradha D

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Sobana V.E

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

International Journal of Engineering & Technology

The commercial traveler problem (CTP) is one of the difficult real—life issues, attracting researchers of the numerous fields together with artificial intelligence, operations research and also algorithm design and analysis. The problems were studied completely on various fields and it has been resolved with different approaches like genetic algorithms and linear programming. Linear programming is intended to take care of crisp parameters, and however data regarding reality world systems is usually offered with in the style of imprecise descriptions. Fuzzy strategies are designed to handle imprecise terms, and are most suited to finding optimum solutions to issues with imprecise parameters. Throughout this paper, solving technique absolutely think about as a CTP with the assistance of trapezoidal membership functions and its arithmetic operations. Solving procedure has been applied from the approach of fuzzy assignment problem using Robust Ranking technique. The fuzzified version of the problem has been mentioned with the assistance of a numerical example associated it is proving that the Robust ranking methodology offers an efficient tool for handling the commercial traveler problem. Finally the optimal solution with in the kind of fuzzy numbers and justified its solution with in the nature of fuzzy membership functions. © 2015, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

Afrika Matematika

Fuzzy commercial traveler problem of trapezoidal membership functions within the sort of α optimum solution using ranking technique

Applied Mathematical Sciences

Realistic method for solving fully intuitionistic fuzzy transportation problems

A new method namely, block-dripping method is proposed for finding a set of all efficient solutions to a bottleneck bi-criteria transportation problem which provides more efficient solutions than other existing methods [1, 14, 15] and the best compromise solution to the problem. Numerical example has been provided to illustrate the solution procedure. The proposed technique provides the necessary decision support to the decision makers, while they are handling time-oriented logistic problems having two objectives. Mathematics Subject Classification: 90C08, 90C90. © 2012 Springer-Verlag.

Journal	International Journal of Engineering & Technology
Publisher	Science Publishing Corporation
ISSN	2227524X
Open Access	No