A Diophantine equation with the harmonic mean
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DOI: 10.1007/s10998-019-00302-4
Abstract: Let $$f\in \mathbb {Q}[x]$$ f ∈ Q [ x ] be a polynomial without multiple roots and $$\deg {f}\ge 2$$ deg f ≥ 2 . We give conditions for $$f=x^2+bx+c$$ f = x 2 +… read more here.
Keywords: diophantine equation; harmonic mean; infinitely many; equation harmonic ... See more keywords
NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment
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DOI: 10.3390/axioms7010012
Abstract: A neutrosophic number (a + bI) is a significant mathematical tool to deal with indeterminate and incomplete information which exists generally in real-world problems, where a and bI denote the determinate component and indeterminate component,… read more here.
Keywords: neutrosophic number; aggregation operators; harmonic mean; number ... See more keywords
Normalized Weighted Bonferroni Harmonic Mean-Based Intuitionistic Fuzzy Operators and Their Application to the Sustainable Selection of Search and Rescue Robots
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DOI: 10.3390/sym11020218
Abstract: In this paper, Normalized Weighted Bonferroni Mean (NWBM) and Normalized Weighted Bonferroni Harmonic Mean (NWBHM) aggregation operators are proposed. Besides, we check the properties thereof, which include idempotency, monotonicity, commutativity, and boundedness. As the intuitionistic… read more here.
Keywords: intuitionistic fuzzy; bonferroni harmonic; harmonic mean; weighted bonferroni ... See more keywords
On Certain Differential Subordination of Harmonic Mean Related to a Linear Function
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DOI: 10.3390/sym13060966
Abstract: In this paper we study a certain differential subordination related to the harmonic mean and its symmetry properties, in the case where a dominant is a linear function. In addition to the known general results… read more here.
Keywords: harmonic mean; differential subordination; certain differential; function ... See more keywords
Harmonic Aggregation Operator with Trapezoidal Picture Fuzzy Numbers and Its Application in a Multiple-Attribute Decision-Making Problem
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DOI: 10.3390/sym14010135
Abstract: 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… read more here.
Keywords: aggregation; picture fuzzy; operator; harmonic mean ... See more keywords