Kalyani
@srit.org
Assistant Professor and Department of Mathematics
Sri Ramakrishna Institute of technology
RESEARCH INTERESTS
Fuzzy Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scopus Publications
Nisha Soms, S. Kalyani, S. Nagarani, M. Rohini, and S. Oswalt Manoj
De Gruyter
S. Kalyani and S. Nagarani
AIP Publishing
The transportation problem with hexagonal fuzzy number is the recent research work done by many authors. The hexagonal fuzzy number is ranked by different methods and then the number is used in the linear programming problem for the optimization purpose. The literature has many results for the optimization problems with the trapezoidal fuzzy numbers. Many authors contributed their work to improve the optimization by expanding the trapezoidal fuzzy number to institutionistiefuzzy numbers, symmetric trapezoidal fuzzy numbers and so on. Now it has reached the level of hexagonal fuzzy number. The hexagonal fuzzy number was examined by some authors and they presented some basic results which needs to be satisfied in general. In this research paper, the hexagonal fuzzy number is ranked by two different methods and a new method is proposed to get the optimal solution of a transportation problem. The unit cost, demand and supply values of the transportation problem are hexagonal fuzzy numbers.
S. Narayanamoorthy and S. Kalyani
Hindawi Limited
An approach is presented to solve a fuzzy transportation problem with linear fractional fuzzy objective function. In this proposed approach the fractional fuzzy transportation problem is decomposed into two linear fuzzy transportation problems. The optimal solution of the two linear fuzzy transportations is solved by dual simplex method and the optimal solution of the fractional fuzzy transportation problem is obtained. The proposed method is explained in detail with an example.
S. Narayanamoorthy, A. Tamilselvi, P. Karthick, S. Kalyani, and S. Maheswari
Hikari, Ltd.
In this paper, the concepts of regular bipolar fuzzy hypergraphs and totally regular bipolar fuzzy hypergraphs are introduced. We prove necessary and sufficient condition under which regular bipolar fuzzy hypergraphs and totally regular bipolar fuzzy hypergraphs are equivalent. Some properties of regular and totally regular bipolar fuzzy hypergraphs are examined. Regular bipolar fuzzy hypergraphs and totally regular bipolar fuzzy hypergraphs are compared through examples.