Group Decision-Making Model Using the Exponential Similarity Measure of Confidence Neutrosophic Number Cubic Sets in a Fuzzy Multi-Valued Circumstance

Abstract

Fuzzy decision-making is a critical research topic in uncertain decision-making issues.
Under uncertain scenarios, a group of decision makers/experts presents the fuzzy evaluation data
of the criteria to an alternative. In this case, we can use a fuzzy multi-valued set (FMVS) to express
them. To solve the operation problem between different fuzzy sequence lengths in FMVSs and
ensure some confidence level of fuzzy assessment values from the perspective of probability, this
paper first proposes a transformation technique from FMVS to a confidence neutrosophic number
cubic set (CNNCS) based on confidence levels and normal distribution of fuzzy values in FMVS.
Then, we present an exponential similarity measure between CNNCSs and its group DM model
with some confidence levels and normal distribution in a FMVS circumstance. Finally, the
developed group DM model is applied to the selection of intelligent manufacturing equipment,
and then the decision results corresponding to the 90%, 95%, and 99% confidence levels reveal the
decision flexibility and rationality/reliability.