Malaysian Journal of Mathematical Sciences, September 2016, Vol. 10, No. 3
Interval Valued Q-Fuzzy Multiparameterized Soft Set and its Application
Fatma Adam and Nasruddin Hassan
Corresponding Email: nas@ukm.edu.my
Received date: -
Accepted date: -
Abstract:
Molodtsov’s soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multi parameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters. This work aims to extend the classical multi parameterized soft sets to interval-valued Q-fuzzy multi parameterized soft (IVQFMP -soft) sets by giving an importance degree for each element in the multi parameterized sets. The equality, subset, complement, union, intersection, ⋀ and ⋁-product operations are defined for the IVQFMP-soft sets. Finally, the proposed IVQFMP-soft set is applied to a decision-making problem, and its effectiveness is demonstrated through a numerical example.
Keywords: Approximate function, decision making, membership, multi Q-fuzzy set
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