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On preferential Sylow fuzzy subgroups

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Abstract In this paper, for a prime p, we propose some plausible definitions for the notion of Sylow fuzzy p-subgroup of a finite group. We derive a number of results… Click to show full abstract

Abstract In this paper, for a prime p, we propose some plausible definitions for the notion of Sylow fuzzy p-subgroup of a finite group. We derive a number of results for finite fuzzy groups using one of the proposed definitions. We also discuss some of the relationships between various proposed definitions for suitability, including the crisp case, with some examples.

Keywords: preferential sylow; sylow fuzzy; fuzzy subgroups; fuzzy

Journal Title: Quaestiones Mathematicae
Year Published: 2017

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