Extension of Threshold Graphs Under Complex Intuitionistic Fuzzy Environment
Saira Hameed, Muhammad Akram, Noreen Mustafa and Faruk Karaaslan
In this article, we merge the attributes of two important concepts, namely complex intuitionistic fuzzy sets and threshold graphs, and bring up the idea of complex intuitionistic fuzzy threshold graphs (CIFTGs). In CIFTGs, we deal with thresholds of amplitude and phase term for membership grades as well as for non membership grades. Henceforth, we introduce the novel concept of CIFTG, as well as some related concepts such as complex intuitionistic fuzzy (CIF) alternating 4-cycle, complex intuitionistic fuzzy threshold dimension (CIFTD), and complex intuitionistic fuzzy threshold partition number (CIFTPN). Moreover, we establish certain interesting results along with examples, which are helpful to comprehend the theory of CIFTGs. Finally, we discuss the implementation of CIFTGs in the solar energy system to reveal the applicability of our approach.
Keywords: CIFTG, CIF alternating 4-cycle, CIFTD, CIFTPN