Shortest path with complement of type-2 fuzzy number
Authors :
V. Anusuyaa,*and R.Sathyab
Author Address :
aPG and Research Department of Mathematics, Seethalakshmi Ramaswami College, Tiruchirappalli - 620 002, TamilNadu, India.
bDepartment of Mathematics, KSR College of Arts and Science, Tiruchengode-637 215, TamilNadu, India.
*Corresponding author.
Abstract :
This paper presents a study of fuzzy shortest path with complement of type-2 fuzzy number on a network. A proposed algorithm also gives the shortest path length using ranking function from source node to destination node. Here each arc length is assigned to complement of type-2 fuzzy number. An illustrative example also included to demonstrate our proposed algorithm.
Keywords :
Type-2 fuzzy set, Complement of type-2 fuzzy set, Type-2 fuzzy number, Ranking function, footprint of uncertainty.
DOI :
Article Info :
Received : August 16, 2013; Accepted : September 01, 2013.