1Department of Mathematics, Sona College of Arts and Science, Salem, Tamilnadu, India. E-mail: satmepri@gmail.com
2Department of Science and Humanities, Idhaya Engineering College for Women, Chinnasalem, Tamilnadu, India. E-mail: malamaths12@gmail.com
AMS Mathematics Subject Classification (2010): 94D05
This paper presents a new type of fuzzy shortest path problem on a network by ranking function. The proposed algorithm gives the fuzzy shortest path and fuzzy shortest path length in which type-2 trapezoidal fuzzy number is assigned to each arc length in a network. In this the ranking function is based on the statistical beta distribution. An illustrative example also included to demonstrate our proposed algorithm.
Type-2 fuzzy number, type-2 trapezoidal fuzzy number, fuzzy network, beta distribution
