I-v Fuzzy Shortest Path in a Multigraph

Author:

Biswas Siddhartha1

Affiliation:

1. Department of Computer Science and Engineering Faculty of Engineering and Technology Jamia Hamdard University Hamdard Nagar, New Delhi – 62, INDIA.

Abstract

In this research paper the author introduces the notion of i-v fuzzy multigraph. The classical Dijkstra’s algorithmic rule to search out the shortest path in graphs isn't applicable to fuzzy graph theory. Consequently the author proposes a brand new algorithmic rule referred to as by IVF-Dijkstra's algorithmic rule with the philosophy of the classical Dijkstra's formula to unravel the SPP in an i-v fuzzy multigraph

Publisher

Oriental Scientific Publishing Company

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference55 articles.

1. Abbasbandy, Saeid, Ranking of fuzzy numbers, some recent and new formulas, IFSA-EUSFLAT, 2009, Page 642- 646.

2. Allahviranloo, T., Abbasbandy, S. and Saneifard, R., A Method for Ranking of Fuzzy Numbers using New Weighted Distance, Mathematical and Computational Applications, Vol. 16, No. 2, Page 359-369, 2011.

3. CrossRef

4. Balakrishnan, V. K., Graph Theory, McGraw-Hill; 1997.

5. Bollobas, Bela., Modern Graph Theory, Springer; 2002

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