Affiliation:
1. Mathematics Department, Faculty of Science, Zagazig University, Egypt
Abstract
Fatimah et al. introduced the notion of N-soft set that is the extension of
soft set introduced by Molodtsov. Shabir et al. studied the bipolarity of
data within the soft set by defining the notion of bipolar soft set. During
this paper, we have a tendency to encourage and introduce the concept of
N-bipolar soft set as an extension of bipolar soft set and N-soft set. Some
helpful algebraical definitions and properties are presented. Our concept is
illustrated with real life examples, which have uncertainties in knowledge
that may be properly captured by this structure. Also, we tend to introduce
the notion of N-bipolar soft topology and its specific structures
including N-bipolar soft neighborhood, N-bipolar soft interior, N-bipolar soft
closure, and N-bipolar soft basis. Moreover, potential applications of
N-bipolar soft sets in decision making are presented with algorithms.
Finally, we present multi criteria group decision making (MCGDM) methods by
utilizing N-bipolar soft set and N-bipolar soft topology to deal with
uncertainties in the real world problems.
Publisher
National Library of Serbia
Cited by
1 articles.
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