Abstract
In this paper, using the notion of soft sets and N-structures, the notion of N-soft p-ideals in BCI-algebras is introduced, and related properties are investigated. Relations between N-soft ideals and N-soft p-ideals are discussed. Conditions for an N-soft ideal to be an N-soft p-ideal are established.
Highlights
Uncertainties can’t be handled using traditional mathematical tools but may be dealt with using a wide range of existing theories such as the probability theory, the theory of fuzzy sets, the theory of vague sets, the theory of interval mathematics, and the theory of rough sets
Molodtsov [15] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches
We introduce the notion of N -soft p-ideals in BCI-algebras, and investigate related properties
Summary
Uncertainties can’t be handled using traditional mathematical tools but may be dealt with using a wide range of existing theories such as the probability theory, the theory of (intuitionistic) fuzzy sets, the theory of vague sets, the theory of interval mathematics, and the theory of rough sets. Jun et al [11] introduced the notion of N -soft sets which are a soft set based on N -structures, and they applied it to both a decision making problem and a BCK/BCI-algebra.
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