<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This research article discusses the problems having flexible demand, supply and cost in range referred as interval data based transportation problems and these cannot be solved directly using available methods. The uncertainty associated with these types of problems motivates authors to tackle it by converting interval to fuzzy numbers. This confront of conversion has been achieved by proposing a dichotomic fuzzification approach followed by a unique triangular incenter ranking approach to optimize interval data based transportation problems. A comparison with existing methods is made with the help of numerical illustrations. The algorithm proposed is found prompt in terms of the number of iteration involved and problem formation. This method is practical to handle the transportation problems not having a single valued data, but data in form of a range.</p></abstract>

This research article discusses the problems having flexible demand, supply and cost in range referred as interval data based transportation problems and these cannot be solved directly using available methods. The uncertainty associated with these types of problems motivates authors to tackle it by converting interval to fuzzy numbers. This confront of conversion has been achieved by proposing a dichotomic fuzzification approach followed by a unique triangular incenter ranking approach to optimize interval data based transportation problems. A comparison with existing methods is made with the help of numerical illustrations. The algorithm proposed is found prompt in terms of the number of iteration involved and problem formation. This method is practical to handle the transportation problems not having a single valued data, but data in form of a range.

Dichotomized Incenter Fuzzy Triangular Ranking Approach to Optimize Interval Data Based Transportation Problem

Department of Mathematics, Jaypee Institute of Information Technology

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This research article discusses the problems having flexible demand, supply and cost in range referred as interval data based transportation problems and these...

Dichotomized Incenter Fuzzy Triangular Ranking Approach to Optimize Interval Data Based Transportation Problem

Published Online: Dec 14, 2018

Page range: 111 - 119

Received: Apr 30, 2018

Accepted: Sep 14, 2018

DOI: https://doi.org/10.2478/cait-2018-0051

Keywords
Triangular fuzzy number, transportation problem, interval data based transportation problem, dichotomic, incenter

© 2018 Pankaj Kumar Srivastava et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Dichotomized Incenter Fuzzy Triangular Ranking Approach to Optimize Interval Data Based Transportation Problem

Published Online: Dec 14, 2018

Page range: 111 - 119

Received: Apr 30, 2018

Accepted: Sep 14, 2018

DOI: https://doi.org/10.2478/cait-2018-0051

KeywordsTriangular fuzzy number, transportation problem, interval data based transportation problem, dichotomic, incenter

© 2018 Pankaj Kumar Srivastava et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Triangular fuzzy number, transportation problem, interval data based transportation problem, dichotomic, incenter