Name
Abstract | ||
|---|---|---|
In this paper, we propose a method to solve linear programming network problems with constraints using interval type-2 fuzzy variables. The method is developed using generalized credibility measure, and lower and upper membership functions of an interval type-2 fuzzy variable. This method has been applied to solve a solid transportation problem with availabilities and demands of a product, and conveyance capacities, which are represented by trapezoidal interval type-2 fuzzy variables. Moreover, we have also shown that different types of problems with objective function having interval type-2 fuzzy parameters can be solved using the proposed method. Apart from a solid transportation problem, we demonstrate its applicability by solving two different network problems: (i) a shortest path problem and (ii) a minimum spanning tree problem. Suitable numerical examples are provided to illustrate the proposed method |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10700-018-9287-2 | FO & DM |
Keywords | Field | DocType |
Interval type-2 fuzzy variable, Membership function, Generalized credibility measure, Chance-constraint programming | Mathematical optimization,Shortest path problem,Credibility,Solid transportation problem,Fuzzy logic,Linear programming,Membership function,Mathematics,Minimum spanning tree | Journal |
Volume | Issue | ISSN |
18 | 1 | 1573-2908 |
Citations | PageRank | References |
2 | 0.37 | 18 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pradip Kundu | 1 | 98 | 5.68 |
| Saibal Majumder | 2 | 14 | 3.97 |
| Samarjit Kar | 3 | 608 | 63.41 |
| Manoranjan Maiti | 4 | 514 | 47.77 |