t-Norm Fuzzy Incidence Graphs

John N. Mordeson and Sunil Mathew
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, NE 68178, USA
Sunil Mathew: Department of Mathematics, National Institute of Technology, Calicut 673601, India

Mathematics, 2018, vol. 6, issue 4, 1-12

Abstract: It is the case that, in certain applications of fuzzy graphs, a t-norm, instead of a minimum, is more suitable. This requires the development of a new theory of fuzzy graphs involving an arbitrary t-norm in the basic definition of a fuzzy graph. There is very little known about this type of fuzzy graph. The purpose of this paper is to further develop this type of fuzzy graph. We concentrate on the relatively new concept of fuzzy incidence graphs.

Keywords: fuzzy incidence graphs; t-norms; connectedness; paths; cycles; trees; bridges; cutpairs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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