Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 7 Sayı: 3, 28 - 43, 15.12.2018

Öz

Kaynakça

  • L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
  • D. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • P. K. Maji, R. Biswas, A. Roy, Fuzzy soft sets, The Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • P. K. Maji, A. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002) 1077-1083.
  • P. K. Maji, R. Biswas, A. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003) 555-562.
  • N. Çağman, S. Enginoğlu, Soft set theory and uni-int decision making, European Journal of Operational Research 207 (2010) 848-855.
  • N. Çağman, S. Enginoğlu, Soft matrix theory and its decision making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
  • N. Çağman, F. Çıtak, S. Enginoğlu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1 (1) (2010) 21-35.
  • N. Çağman, S. Enginoğlu, F. Çıtak, Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems 8 (3) (2011) 137-147.
  • N. Çağman, F. Çıtak, S. Enginoğlu, FP-soft set theory and its applications, Annals of Fuzzy Mathematics Information 2 (2) (2011) 219-226.
  • N. Çağman, S. Enginoğlu, Fuzzy soft matrix theory and its application in decision making, Iranian Journal of Fuzzy Systems 9 (1) (2012) 109-119.
  • S. Enginoğlu, Soft matrices, PhD thesis, Gaziosmanpasa University (2012).
  • S. Atmaca, İ. Zorlutuna, On topological structures of fuzzy parametrized soft sets, The Scientific World Journal 2014 (2014) Article ID 164176, 8 pages.
  • S. Enginoğlu, S. Karataş, N. Çağman, T. Aydın, On soft topology, El-Cezerî Journal of Science and Engineering 2 (3) (2015) 23-38.
  • F. Çıtak, N. Çağman, Soft int-rings and its algebraic applications, Journal of Intelligent and Fuzzy Systems 28 (2015) 1225-1233.
  • M. Tuncay, A. Sezgin, Soft union ring and its applications to ring theory, International Journal of Computer Applications 151 (9) (2016) 7-13.
  • F. Karaaslan, Soft classes and soft rough classes with applications in decision making, Mathematical Problems in Engineering 2016 (2016) Article ID 1584528, 11 pages.
  • İ. Zorlutuna, S. Atmaca, Fuzzy parametrized fuzzy soft topology, New Trends in Mathematical Sciences 4 (1) (2016) 142-152.
  • A. Sezgin, A new approach to semigroup theory I: Soft union semigroups, ideals and bi-ideals, Algebra Letters 2016 (2016) Article ID 3, 46 pages.
  • E. Muştuoğlu, A. Sezgin, Z. K. Türk, Some characterizations on soft uni-groups and normal soft uni-groups, International Journal of Computer Applications 155 (10) (2016) 8 pages.
  • S. Atmaca, Relationship between fuzzy soft topological spaces and (X,τ_e ) parameter spaces, Cumhuriyet Science Journal 38 (2017) 77-85.
  • S. Bera, S. K. Roy, F. Karaaslan, N. Çağman, Soft congruence relation over lattice, Hacettepe Journal of Mathematics and Statistics 46 (6) (2017) 1035-1042.
  • F. Çıtak, N. Çağman, Soft k-int-ideals of semirings and its algebraic structures, Annals of Fuzzy Mathematics and Informatics 13 (4) (2017) 531-538.
  • A. Ullah, F. Karaaslan, I. Ahmad, Soft uni-Abel-Grassmann's groups, European Journal of Pure and Applied Mathematics 11 (2) (2018) 517-536.
  • A. Sezgin, N. Çağman, F. Çıtak, α-inclusions applied to group theory via soft set and logic, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1) (2019) 334-352.
  • A. S. Razak, D. Mohamad, A soft set based group decision making method with criteria weight, World Academy of Science, Engineering and Technology 5 (10) (2011) 574-579.
  • S. Eraslan, A decision making method via topsis on soft sets, Journal of New Results in Science (8) (2015) 57-71.
  • A. S. Razak, D. Mohamad, A decision making method using fuzzy soft sets, Malaysian Journal of Fundamental and Applied Sciences 9 (2) (2013) 99-104.
  • P. K. Das, H. Borgohain, An application of fuzzy soft set in multicriteria decision making problem, International Journal of Computer Applications 38 (12) (2012) 33-37.
  • S. Eraslan, F. Karaaslan, A group decision making method based on topsis under fuzzy soft environment, Journal of New Theory (3) (2015) 30-40.
  • N. Çağman, İ. Deli, Means of FP-soft sets and their applications, Hacettepe Journal of Mathematics and Statistics 41 (5) (2012) 615-625.
  • K. Zhu, J. Zhan, Fuzzy parameterized fuzzy soft sets and decision making, International Journal of Machine Learning and Cybernetics 7 (2016) 1207-1212.
  • S. Vijayabalaji, A. Ramesh, A new decision making theory in soft matrices, International Journal of Pure and Applied Mathematics 86 (6) (2013) 927-939.
  • N. Khan, F. H. Khan, G. S. Thakur, Weighted fuzzy soft matrix theory and its decision making, International Journal of Advances in Computer Science and Technology 2 (10) (2013) 214-218.
  • S. Enginoğlu, S. Memiş, A configuration of some soft decision making algorithms via fpfs-matrices, Cumhuriyet Science Journal 39 (2018) xx-xx.
  • S. Enginoğlu, S. Memiş, Ö. Tutku, A fast and simple soft decision-making algorithm: EMO18o, International Conference on Mathematical Studies and Applications, Karaman, TURKEY, 2018.
  • Z. Wang, D. Zhang, Progressive switching median filter for the removal of impulse noise from highly corrupted images, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 46 (1) (1999) 78-80.
  • A. Pattnaik, S. Agarwal, S. Chand, A new and efficient method for removal of high density salt and pepper noise through cascade decision based filtering algorithm, Procedia Technology 6 (2012) 108-117.
  • S. Esakkirajan, T. Veerakumar, A. Subramanyam, C. PremChand, Removal of high density salt and pepper noise through modified decision based unsymmetric trimmed median filter, IEEE Signal Processing Letters 18 (5) (2011) 287-290.
  • K. Toh, N. Isa, Noise Adaptive Fuzzy Switching Median Filter for Salt-and-Pepper Noise Reduction, IEEE Signal Processing Letters 17 (3) (2010) 281-284.
  • U. Erkan, L. Görkem, S. Enginoğlu, Different applied median filter in salt and pepper noise, Computers and Electrical Engineering 70 (2018) 789-798.
  • W. Zhou, H. Bovik, E. Simoncelli, Image quality assessment: From error visibility to structural similarity, IEEE Transactions on Image Processing 13 (4) (2004) 600-612.

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

Yıl 2018, Cilt: 7 Sayı: 3, 28 - 43, 15.12.2018

Öz

The uni-int decision-making method constructed by and-product/or-product was defined and applied to a decision-making problem by Çağman and Enginoğlu. The method has a potential for applications in several areas such as machine learning and image processing. Recently, this method 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. However, in the case that a large amount of data is processed, the method has a disadvantage regarding time and complexity. To deal with this problem and to be able to use this configured method denoted by CE10 effectively, we suggest two algorithms in this paper, i.e. EMO18a and EMO18o, and prove that CE10 constructed by and-product (CE10a) and constructed by or-product (CE10o) are special cases of EMO18a and EMO18o, respectively, if first rows of the fpfs-matrices are binary. We then compare the running times of these algorithms. The results show that EMO18a and EMO18o outperform CE10a and CE10o, respectively. Particularly in problems containing a large amount of parameters, EMO18a and EMO18o offer up to 99.9966% and 99.9965% of time advantage, respectively. Afterwards, we apply EMO18o 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.

Kaynakça

  • L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
  • D. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • P. K. Maji, R. Biswas, A. Roy, Fuzzy soft sets, The Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • P. K. Maji, A. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002) 1077-1083.
  • P. K. Maji, R. Biswas, A. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003) 555-562.
  • N. Çağman, S. Enginoğlu, Soft set theory and uni-int decision making, European Journal of Operational Research 207 (2010) 848-855.
  • N. Çağman, S. Enginoğlu, Soft matrix theory and its decision making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
  • N. Çağman, F. Çıtak, S. Enginoğlu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1 (1) (2010) 21-35.
  • N. Çağman, S. Enginoğlu, F. Çıtak, Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems 8 (3) (2011) 137-147.
  • N. Çağman, F. Çıtak, S. Enginoğlu, FP-soft set theory and its applications, Annals of Fuzzy Mathematics Information 2 (2) (2011) 219-226.
  • N. Çağman, S. Enginoğlu, Fuzzy soft matrix theory and its application in decision making, Iranian Journal of Fuzzy Systems 9 (1) (2012) 109-119.
  • S. Enginoğlu, Soft matrices, PhD thesis, Gaziosmanpasa University (2012).
  • S. Atmaca, İ. Zorlutuna, On topological structures of fuzzy parametrized soft sets, The Scientific World Journal 2014 (2014) Article ID 164176, 8 pages.
  • S. Enginoğlu, S. Karataş, N. Çağman, T. Aydın, On soft topology, El-Cezerî Journal of Science and Engineering 2 (3) (2015) 23-38.
  • F. Çıtak, N. Çağman, Soft int-rings and its algebraic applications, Journal of Intelligent and Fuzzy Systems 28 (2015) 1225-1233.
  • M. Tuncay, A. Sezgin, Soft union ring and its applications to ring theory, International Journal of Computer Applications 151 (9) (2016) 7-13.
  • F. Karaaslan, Soft classes and soft rough classes with applications in decision making, Mathematical Problems in Engineering 2016 (2016) Article ID 1584528, 11 pages.
  • İ. Zorlutuna, S. Atmaca, Fuzzy parametrized fuzzy soft topology, New Trends in Mathematical Sciences 4 (1) (2016) 142-152.
  • A. Sezgin, A new approach to semigroup theory I: Soft union semigroups, ideals and bi-ideals, Algebra Letters 2016 (2016) Article ID 3, 46 pages.
  • E. Muştuoğlu, A. Sezgin, Z. K. Türk, Some characterizations on soft uni-groups and normal soft uni-groups, International Journal of Computer Applications 155 (10) (2016) 8 pages.
  • S. Atmaca, Relationship between fuzzy soft topological spaces and (X,τ_e ) parameter spaces, Cumhuriyet Science Journal 38 (2017) 77-85.
  • S. Bera, S. K. Roy, F. Karaaslan, N. Çağman, Soft congruence relation over lattice, Hacettepe Journal of Mathematics and Statistics 46 (6) (2017) 1035-1042.
  • F. Çıtak, N. Çağman, Soft k-int-ideals of semirings and its algebraic structures, Annals of Fuzzy Mathematics and Informatics 13 (4) (2017) 531-538.
  • A. Ullah, F. Karaaslan, I. Ahmad, Soft uni-Abel-Grassmann's groups, European Journal of Pure and Applied Mathematics 11 (2) (2018) 517-536.
  • A. Sezgin, N. Çağman, F. Çıtak, α-inclusions applied to group theory via soft set and logic, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1) (2019) 334-352.
  • A. S. Razak, D. Mohamad, A soft set based group decision making method with criteria weight, World Academy of Science, Engineering and Technology 5 (10) (2011) 574-579.
  • S. Eraslan, A decision making method via topsis on soft sets, Journal of New Results in Science (8) (2015) 57-71.
  • A. S. Razak, D. Mohamad, A decision making method using fuzzy soft sets, Malaysian Journal of Fundamental and Applied Sciences 9 (2) (2013) 99-104.
  • P. K. Das, H. Borgohain, An application of fuzzy soft set in multicriteria decision making problem, International Journal of Computer Applications 38 (12) (2012) 33-37.
  • S. Eraslan, F. Karaaslan, A group decision making method based on topsis under fuzzy soft environment, Journal of New Theory (3) (2015) 30-40.
  • N. Çağman, İ. Deli, Means of FP-soft sets and their applications, Hacettepe Journal of Mathematics and Statistics 41 (5) (2012) 615-625.
  • K. Zhu, J. Zhan, Fuzzy parameterized fuzzy soft sets and decision making, International Journal of Machine Learning and Cybernetics 7 (2016) 1207-1212.
  • S. Vijayabalaji, A. Ramesh, A new decision making theory in soft matrices, International Journal of Pure and Applied Mathematics 86 (6) (2013) 927-939.
  • N. Khan, F. H. Khan, G. S. Thakur, Weighted fuzzy soft matrix theory and its decision making, International Journal of Advances in Computer Science and Technology 2 (10) (2013) 214-218.
  • S. Enginoğlu, S. Memiş, A configuration of some soft decision making algorithms via fpfs-matrices, Cumhuriyet Science Journal 39 (2018) xx-xx.
  • S. Enginoğlu, S. Memiş, Ö. Tutku, A fast and simple soft decision-making algorithm: EMO18o, International Conference on Mathematical Studies and Applications, Karaman, TURKEY, 2018.
  • Z. Wang, D. Zhang, Progressive switching median filter for the removal of impulse noise from highly corrupted images, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 46 (1) (1999) 78-80.
  • A. Pattnaik, S. Agarwal, S. Chand, A new and efficient method for removal of high density salt and pepper noise through cascade decision based filtering algorithm, Procedia Technology 6 (2012) 108-117.
  • S. Esakkirajan, T. Veerakumar, A. Subramanyam, C. PremChand, Removal of high density salt and pepper noise through modified decision based unsymmetric trimmed median filter, IEEE Signal Processing Letters 18 (5) (2011) 287-290.
  • K. Toh, N. Isa, Noise Adaptive Fuzzy Switching Median Filter for Salt-and-Pepper Noise Reduction, IEEE Signal Processing Letters 17 (3) (2010) 281-284.
  • U. Erkan, L. Görkem, S. Enginoğlu, Different applied median filter in salt and pepper noise, Computers and Electrical Engineering 70 (2018) 789-798.
  • W. Zhou, H. Bovik, E. Simoncelli, Image quality assessment: From error visibility to structural similarity, IEEE Transactions on Image Processing 13 (4) (2004) 600-612.
Toplam 42 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Serdar Enginoğlu 0000-0002-7188-9893

Samet Memiş 0000-0002-0958-5872

Tutku Öngel Bu kişi benim 0000-0001-7769-9348

Yayımlanma Tarihi 15 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 7 Sayı: 3

Kaynak Göster

APA Enginoğlu, S., Memiş, S., & Öngel, T. (2018). Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research. Journal of New Results in Science, 7(3), 28-43.
AMA Enginoğlu S, Memiş S, Öngel T. Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research. JNRS. Aralık 2018;7(3):28-43.
Chicago Enginoğlu, Serdar, Samet Memiş, ve Tutku Öngel. “Comment on Soft Set Theory and Uni-Int Decision-Making [European Journal of Operational Research”. Journal of New Results in Science 7, sy. 3 (Aralık 2018): 28-43.
EndNote Enginoğlu S, Memiş S, Öngel T (01 Aralık 2018) Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research. Journal of New Results in Science 7 3 28–43.
IEEE S. Enginoğlu, S. Memiş, ve T. Öngel, “Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research”, JNRS, c. 7, sy. 3, ss. 28–43, 2018.
ISNAD Enginoğlu, Serdar vd. “Comment on Soft Set Theory and Uni-Int Decision-Making [European Journal of Operational Research”. Journal of New Results in Science 7/3 (Aralık 2018), 28-43.
JAMA Enginoğlu S, Memiş S, Öngel T. Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research. JNRS. 2018;7:28–43.
MLA Enginoğlu, Serdar vd. “Comment on Soft Set Theory and Uni-Int Decision-Making [European Journal of Operational Research”. Journal of New Results in Science, c. 7, sy. 3, 2018, ss. 28-43.
Vancouver Enginoğlu S, Memiş S, Öngel T. Comment on Soft Set Theory and uni-int Decision-Making [European Journal of Operational Research. JNRS. 2018;7(3):28-43.


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