Energy of a Complex Fuzzy Graph

نویسندگان

  • P. THIRUNAVUKARASU
  • R. SURESH
  • K. K. VISWANATHAN
چکیده

In this paper, the concept of fuzzy graph is extended to a complex fuzzy graph. Complex fuzzy graphs are encountered in complex fuzzy set theory. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0, 1], but extended to the unit circle in the complex plane. Thus, the complex fuzzy set provides a mathematical framework for describing membership in a set in terms of a complex number. We defined energy of a complex fuzzy graph , it is an extension of energy of a fuzzy graph. We also defined lower bound and upper bound of energy of a complex fuzzy graph. These concepts provided with numerical example. −−−−−−−−−−−−−−−−−−−−−−−−−−−−

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تاریخ انتشار 2016