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For multiple attribute decision-making problem under Fermatean Fuzzy data environment, few existing operators are considered to interrelate among the attributes. In this paper, utilizing Dombi t-norm and t-conorm operations on Fermatean fuzzy number, some operators are defined. The operators are Fermatean fuzzy Dombi weighted averaging operator, Fermatean fuzzy Dombi ordered weighted averaging operator, Fermatean fuzzy Dombi weighted geometric operator, and Fermatean fuzzy Dombi ordered weighted geometric operator. At last, a multiple attribute decision-making problem is considered and a model related to this problem is developed. Also a numerical example is stated to illustrate the proposed model. [ABSTRACT FROM AUTHOR]

Recently, m-polar fuzzy graph (mPFG) becomes a growing research topic as it is the generalization of fuzzy graph. In this paper, at first α-strong mPF arc, β-strong mPF arc, δ-strong mPF arc and δ ∗-strong mPF arc in an mPFG are defined. An application of decision making using strong path is also given at the end. [ABSTRACT FROM AUTHOR]

Picture fuzzy sets (PFSs) can be used to handle real-life problems with uncertainty and vagueness more effectively than intuitionistic fuzzy sets (IFSs). In the process of information aggregation, many aggregation operators under PFSs are used by different authors in different fields. In this article, a multi-attribute decision-making (MADM) problem is introduced utilizing harmonic mean aggregation operators with trapezoidal fuzzy number (TrFN) under picture fuzzy information. Three harmonic mean operators are developed namely trapezoidal picture fuzzy weighted harmonic mean (TrPFWHM) operator, trapezoidal picture fuzzy order weighted harmonic mean (TrPFOWHM) operator and trapezoidal picture fuzzy hybrid harmonic mean (TrPFHHM) operator. The related properties about these operators are also studied. At last, an MADM problem is considered to interrelate among these operators. Furthermore, a numerical instance is considered to explain the productivity of the proposed operators. [ABSTRACT FROM AUTHOR]