A Configuration of Some Soft Decision-Making Algorithms via fpfs-matrices
Year 2018,
Volume: 39 Issue: 4, 871 - 881, 24.12.2018
Serdar Enginoğlu
,
Samet Memiş
Abstract
Since many problems have a large amount of data or uncertainty, the
computer mathematics has become compulsory. To deal with such kinds of these
problems, the concept of fuzzy parameterized fuzzy soft matrices (fpfs-matrices) has been defined by
Enginoğlu. In this paper, we first give some of its basic definitions. We then
configure some decision-making algorithms constructed by soft sets, fuzzy soft
sets, fuzzy parameterized soft sets, fpfs-sets,
and their matrix representations. We finally discuss later works.
References
-
[1] Zadeh L. A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.
-
[2] Molodtsov D., Soft Set Theory-First Results, Computers and Mathematics with Applications, 37 (1999) 19-31.
-
[3] Maji P. K., Biswas R. and Roy A.R., Fuzzy Soft Sets, The Journal of Fuzzy Mathematics, 9-3 (2001) 589-602.
-
[4] Maji P.K., Roy A.R. and Biswas R., An Application of Soft Sets in A Decision Making Problem, Computers and Mathematics with Applications, 44 (2002) 1077-1083.
-
[5] Maji P.K., Biswas R. and Roy A.R., Soft Set Theory, Computers and Mathematics with Applications, 45 (2003) 555-562.
-
[6] Çağman N. and Enginoğlu S., Soft Set Theory and Uni-Int Decision Making, European Journal of Operational Research, 207 (2010) 848-855.
-
[7] Çağman N., Enginoğlu S. and Çıtak F., Fuzzy Soft Set Theory and Its Applications, Iranian Journal of Fuzzy Systems, 8-3 (2011) 137-147.
-
[8] Çağman N., Çıtak F. and Enginoğlu S., FP-Soft Set Theory and Its Applications, Annals of Fuzzy Mathematics Information, 2-2 (2011) 219-226.
-
[9] Çağman N., Çıtak F. and Enginoğlu S., Fuzzy Parameterized Fuzzy Soft Set Theory and Its Applications, Turkish Journal of Fuzzy Systems, 1-1 (2010) 21-35.
-
[10] Çağman N. and Enginoğlu S., Soft Matrix Theory and Its Decision Making, Computers and Mathematics with Applications, 59 (2010) 3308-3314.
-
[11] Çağman N. and Enginoğlu S., Fuzzy Soft Matrix Theory and Its Application in Decision Making, Iranian Journal of Fuzzy Systems, 9-1 (2012) 109-119.
-
[12] Enginoğlu S., Soft Matrices, PhD Diss., Gaziosmanpaşa University, Turkey, 2012.
-
[13] Razak S. and Mohamad D., A Decision Making Method using Fuzzy Soft Sets, Malaysian Journal of Fundamental and Applied Science, 9-2 (2013) 99-104.
-
[14] Razak S. and Mohamad D., A Soft Set Based Group Decision Making Method with Criteria Weight, World Academy of Science, Engineering and Technology, 5-10 (2011) 1641-1646.
-
[15] Das P. K. and Borgohain R., An Application of Fuzzy Soft Set in Multicriteria Decision Making Problem, International Journal of Computer Applications, 38-12 (2012) 33-37.
-
[16] Çağman N. and Deli İ., Means of FP-Soft Sets and Their Applications, Hacettepe Journal of Mathematics and Statistics, 41-5 (2012) 615-625.
-
[17] Eraslan S., A Decision Making Method via TOPSIS on Soft Sets, Journal of New Results in Science, 8 (2015) 57-71.
-
[18] Eraslan S. and Karaaslan F., A Group Decision Making Method Based on TOPSIS under Fuzzy Soft Environment, Journal of New Theory, 3 (2015) 30-40.
-
[19] Khan N., Khan F. H. and Thakur G. S., Weighted Fuzzy Soft Matrix Theory and Its Decision Making, International Journal of Advances in Computer Science and Technology, 2-10 (2013) 214-218.
-
[20] Vijayabalaji S. and Ramesh A., A New Decision Making Theory in Soft Matrices, International Journal of Pure and Applied Mathematics, 86-6, (2013) 927-939.
-
[21] Zhu K. and Zhan J., Fuzzy Parameterized Fuzzy Soft Sets and Decision Making, International Journal of Machine Learning and Cybernetics, 7 (2016) 1207-1212.
-
[22] Çaǧman N. and Deli İ., Products of FP-soft Sets and Their Applications, Hacettepe Journal of Mathematics and Statistics, 41-3 (2012) 365-374.
-
[23] Çaǧman N. and Deli İ., Relations on FP-soft Sets Applied to Decision Making Problems, Journal of New Theory 3 (2015) 98–107.
-
[24] Chen D., Tsang E.C.C., Yeung D. S. and Wang X., The Parameterization Reduction of Soft Sets and Its Applications, Computers and Mathematics with Applications, 49 (2005) 757-763.
-
[25] Kong Z., Gao L., Wang L. and Li S., The Normal Parameter Reduction of Soft Sets and Its Algorithm, Computers and Mathematics with Applications, 56 (2008) 3029-3037.
Bazı Esnek Karar Verme Algoritmalarının fpfs-matrisler Yoluyla Bir Yapılandırması
Year 2018,
Volume: 39 Issue: 4, 871 - 881, 24.12.2018
Serdar Enginoğlu
,
Samet Memiş
Abstract
Çoğu problem yüksek miktarda veri veya belirsizlik içerdiğinden
bilgisayarlı matematik zorunlu hale gelmiştir. Bu tür problemlerle başa
çıkabilmek için, bulanık parametreli bulanık esnek matris (fpfs-matris) kavramı Enginoğlu tarafından ortaya atıldı. Bu
çalışmada ilk olarak, bu kavramın bazı temel tanımlarını veriyoruz. Daha sonra,
esnek kümeler, bulanık esnek kümeler, bulanık parametreli esnek kümeler, fpfs-kümeler ve onların matris
temsilleri yoluyla inşa edilen bazı esnek karar verme algoritmalarını fpfs-matrisler yoluyla yapılandırıyoruz.
Son olarak, sonraki çalışmalar hakkında bir tartışmaya yer veriyoruz.
References
-
[1] Zadeh L. A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.
-
[2] Molodtsov D., Soft Set Theory-First Results, Computers and Mathematics with Applications, 37 (1999) 19-31.
-
[3] Maji P. K., Biswas R. and Roy A.R., Fuzzy Soft Sets, The Journal of Fuzzy Mathematics, 9-3 (2001) 589-602.
-
[4] Maji P.K., Roy A.R. and Biswas R., An Application of Soft Sets in A Decision Making Problem, Computers and Mathematics with Applications, 44 (2002) 1077-1083.
-
[5] Maji P.K., Biswas R. and Roy A.R., Soft Set Theory, Computers and Mathematics with Applications, 45 (2003) 555-562.
-
[6] Çağman N. and Enginoğlu S., Soft Set Theory and Uni-Int Decision Making, European Journal of Operational Research, 207 (2010) 848-855.
-
[7] Çağman N., Enginoğlu S. and Çıtak F., Fuzzy Soft Set Theory and Its Applications, Iranian Journal of Fuzzy Systems, 8-3 (2011) 137-147.
-
[8] Çağman N., Çıtak F. and Enginoğlu S., FP-Soft Set Theory and Its Applications, Annals of Fuzzy Mathematics Information, 2-2 (2011) 219-226.
-
[9] Çağman N., Çıtak F. and Enginoğlu S., Fuzzy Parameterized Fuzzy Soft Set Theory and Its Applications, Turkish Journal of Fuzzy Systems, 1-1 (2010) 21-35.
-
[10] Çağman N. and Enginoğlu S., Soft Matrix Theory and Its Decision Making, Computers and Mathematics with Applications, 59 (2010) 3308-3314.
-
[11] Çağman N. and Enginoğlu S., Fuzzy Soft Matrix Theory and Its Application in Decision Making, Iranian Journal of Fuzzy Systems, 9-1 (2012) 109-119.
-
[12] Enginoğlu S., Soft Matrices, PhD Diss., Gaziosmanpaşa University, Turkey, 2012.
-
[13] Razak S. and Mohamad D., A Decision Making Method using Fuzzy Soft Sets, Malaysian Journal of Fundamental and Applied Science, 9-2 (2013) 99-104.
-
[14] Razak S. and Mohamad D., A Soft Set Based Group Decision Making Method with Criteria Weight, World Academy of Science, Engineering and Technology, 5-10 (2011) 1641-1646.
-
[15] Das P. K. and Borgohain R., An Application of Fuzzy Soft Set in Multicriteria Decision Making Problem, International Journal of Computer Applications, 38-12 (2012) 33-37.
-
[16] Çağman N. and Deli İ., Means of FP-Soft Sets and Their Applications, Hacettepe Journal of Mathematics and Statistics, 41-5 (2012) 615-625.
-
[17] Eraslan S., A Decision Making Method via TOPSIS on Soft Sets, Journal of New Results in Science, 8 (2015) 57-71.
-
[18] Eraslan S. and Karaaslan F., A Group Decision Making Method Based on TOPSIS under Fuzzy Soft Environment, Journal of New Theory, 3 (2015) 30-40.
-
[19] Khan N., Khan F. H. and Thakur G. S., Weighted Fuzzy Soft Matrix Theory and Its Decision Making, International Journal of Advances in Computer Science and Technology, 2-10 (2013) 214-218.
-
[20] Vijayabalaji S. and Ramesh A., A New Decision Making Theory in Soft Matrices, International Journal of Pure and Applied Mathematics, 86-6, (2013) 927-939.
-
[21] Zhu K. and Zhan J., Fuzzy Parameterized Fuzzy Soft Sets and Decision Making, International Journal of Machine Learning and Cybernetics, 7 (2016) 1207-1212.
-
[22] Çaǧman N. and Deli İ., Products of FP-soft Sets and Their Applications, Hacettepe Journal of Mathematics and Statistics, 41-3 (2012) 365-374.
-
[23] Çaǧman N. and Deli İ., Relations on FP-soft Sets Applied to Decision Making Problems, Journal of New Theory 3 (2015) 98–107.
-
[24] Chen D., Tsang E.C.C., Yeung D. S. and Wang X., The Parameterization Reduction of Soft Sets and Its Applications, Computers and Mathematics with Applications, 49 (2005) 757-763.
-
[25] Kong Z., Gao L., Wang L. and Li S., The Normal Parameter Reduction of Soft Sets and Its Algorithm, Computers and Mathematics with Applications, 56 (2008) 3029-3037.