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## Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]

#### Serdar ENGİNOĞLU [1] , Samet Memiş [2] , Burak Arslan [3]

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.

Fuzzy sets, Soft sets, Soft decision-making, Soft matrices, fpfs-matrices
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Primary Language en Engineering Research Article Orcid: 0000-0002-7188-9893Author: Serdar ENGİNOĞLU Institution: Çanakkale Onsekiz Mart University, Faculty of Arts and SciencesCountry: Turkey Orcid: 0000-0002-0958-5872Author: Samet Memiş Institution: CANAKKALE ONSEKIZ MART UNIVERSITYCountry: Turkey Orcid: 0000-0002-1724-8841Author: Burak Arslan Institution: CANAKKALE ONSEKIZ MART UNIVERSITYCountry: Turkey Publication Date : October 6, 2018
 Bibtex @research article { jnt482876, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2018}, volume = {}, pages = {84 - 102}, doi = {}, title = {Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]}, key = {cite}, author = {ENGİNOĞLU, Serdar and Memiş, Samet and Arslan, Burak} } APA ENGİNOĞLU, S , Memiş, S , Arslan, B . (2018). Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]. Journal of New Theory , (25) , 84-102 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/39585/482876 MLA ENGİNOĞLU, S , Memiş, S , Arslan, B . "Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]". Journal of New Theory (2018 ): 84-102 Chicago ENGİNOĞLU, S , Memiş, S , Arslan, B . "Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]". Journal of New Theory (2018 ): 84-102 RIS TY - JOUR T1 - Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855] AU - Serdar ENGİNOĞLU , Samet Memiş , Burak Arslan Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 84 EP - 102 VL - IS - 25 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2018 ER - EndNote %0 Journal of New Theory Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855] %A Serdar ENGİNOĞLU , Samet Memiş , Burak Arslan %T Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855] %D 2018 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 25 %R %U ISNAD ENGİNOĞLU, Serdar , Memiş, Samet , Arslan, Burak . "Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]". Journal of New Theory / 25 (October 2018): 84-102 . AMA ENGİNOĞLU S , Memiş S , Arslan B . Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]. JNT. 2018; (25): 84-102. Vancouver ENGİNOĞLU S , Memiş S , Arslan B . Comment (2) on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research, (2010) 207, 848-855]. Journal of New Theory. 2018; (25): 102-84.

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