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Volume :41 Issue : 2 2014      Add To Cart                                                                    Download

Fuzzy soft -hemirings

Auther : XUELING MA, JIANMING ZHAN

Abstract
Maji et al. (2001) introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. The concepts of -fuzzy soft left -ideals (right -ideals, -interior-ideals) in -hemirings are introduced. Some new characterization theorems of these kinds of fuzzy soft -ideals of a -hemiring are also given. Finally, we show that -hemiregular and -semisimple -hemirings can be described by -fuzzy soft -ideals and -fuzzy soft -interior-ideals.
Keywords
: -hemirings, Fuzzy soft set; -fuzzy soft (left, right) -ideal; -fuzzy soft -interior-ideal; ( -hemiregular, -semisimple) -hemiring.