Abstract

In this study, our aim is to explore Fuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 particularly on the structures of normed spaces and its relations to cycles in FACS. Several new notions namely FT3-fuzzy detour cycles of FACS, a FT3-cycle space of FACS as a vector space and normed space of FACS of fuzzy graph Type-3 are presented in this study. These notions are implemented in a modeling of an incineration process.

Keywords:

Cycle space of FACS, fuzzy autocatalytic set, fuzzy graph, incineration process, normed space of FACS,

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Competing interests

The authors have no competing interests.

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