Comment (2) on Soft Set Theory and uni-int Decision Making [European Journal of Operational Research

Year 2018, Issue: 25, 84 - 102, 06.10.2018

Serdar Enginoğlu , Samet Memiş , Burak Arslan

Abstract

The
uni-int decision-making method, which selects a set of optimum elements from
the alternatives, was defined by Çağman and Enginoğlu via soft sets and their
soft products. Lately, this method constructed by and-product/or-product has
been configured by Enginoğlu and Memiş via fuzzy parameterized fuzzy soft
matrices (fpfs-matrices), faithfully to the original, because a more general
form is needed for the method in the event that the parameters or objects have
uncertainties. In this study, we configure the method via fpfs-matrices and
andnot-product/ornot-product, faithfully to the original. However, in the case
that a large amount of data is processed, the method still has a disadvantage
regarding time and complexity. To deal with this problem and to be able to use
this configured method effectively denoted by CE10, we suggest two new
algorithms in this paper, i.e. EMA18an and EMA18on, and prove that CE10
constructed by andnot-product (CE10an) and constructed by ornot-product
(CE10on) are special cases of EMA18an and EMA18on, respectively, if first rows
of the fpfs-matrices are binary. We then compare the running times of these
algorithms. The results show that EMA18an and EMA18on outperform CE10an and
CE10on, respectively. Particularly in problems containing a large amount of
parameters, EMA18an and EMA18on offer up to 99.9966% and 99.9964% of time
advantage, respectively. Latterly, we apply EMA18on to a performance-based
value assignment to the methods used in noise removal, so that we can order
them in terms of performance. Finally, we discuss the need for further
research.

Keywords

Fuzzy sets, Soft sets, Soft decision-making, Soft matrices, fpfs-matrices

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