Abstract
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.
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 language | English |
|---|---|
| Pages (from-to) | 102064-102075 |
| Number of pages | 12 |
| Journal | IEEE Access |
| Volume | 10 |
| Publication status | Published - 30 Sept 2022 |
Keywords
- CDFG
- self complementary of CDFG
- homomorphism
- isomorphism
- co-weak isomorphism
- weak isomorphism
- application