Multi-Attribute Decision-Making Application Based on Hesitant Fuzzy N Soft-Unit Semi-Ring
Abstract
In this paper, by combining hesitant-fuzzy N-soft sets with fuzzy automata, and incorporating the properties of monoid semirings in recent algebras, we propose a new model called hesitant-fuzzy N-soft monoid automata It is mainly used to deal with fuzzy decision-making problems. Then this paper introduces some of its computational properties, including direct product, cyclic product, concatenated product, weak complement, etc. These operations are derived from extended intersection, extended union, restricted intersection, and restricted union of hesitant fuzzy sets. In addition, , the weights obtained by hesitant fuzzy automata are introduced into the improved TODIM method to deal with multi-attribute group decision-making problems. Through a typical fuzzy decision-making problem of evaluating the core value of an enterprise, the optimal solution is selected by using the hesitant fuzzy N-soft-unitary semi-ring automaton and the score function.
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DOI: http://dx.doi.org/10.18686/ahe.v6i23.4670
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