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A New Approach for Type-2 Fuzzy Shortest Path Problem Based on Statistical Beta Distribution Sathya R.1, Mala R.2 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 Online published on 7 February, 2019. Abstract 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. Top Keywords Type-2 fuzzy number, type-2 trapezoidal fuzzy number, fuzzy network, beta distribution. Top | |
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