A Study of Complex Dombi Fuzzy Graph With Application in Decision Making Problems

Ehsan Mehboob Ahmed Butt, Waqas Mahmood, Ferdous M. O. Tawfiq, Qin Xin, Muhammad Shoaib

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
42 Downloads (Pure)


A complex fuzzy set (CFS) is a generalization of a fuzzy set (FS) in which a limit of degrees
occurs on the complex plane with unit disc. The averaging operators are a key part of turning all the data
into one value. Dombi operators have exceptional flexibility with operating factors, and they are particularly
efficient in decision-making problems. In this paper, we establish a complex dombi fuzzy graph (CDFG).
We implement dombi operators on CFSs to extend graph nomenclature. We define the complement of CDFG
with an example. The idea of self-complementary in CDFG is discussed. The concepts of homomorphism,
isomorphism, weak isomorphism, and co-weak isomorphism of two CDFGs are discussed. We define
regular and entirely regular graphs with sufficient elaboration and examine their key properties. Furthermore,
significant characteristics are used to explain the edge regularity of CDFG. Lastly, we establish an application
of CDFG in decision making problems.
Original languageEnglish
Pages (from-to)102064-102075
Number of pages12
JournalIEEE Access
Publication statusPublished - 30 Sept 2022


  • CDFG
  • self complementary of CDFG
  • homomorphism
  • isomorphism
  • co-weak isomorphism
  • weak isomorphism
  • application


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