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  1. Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

    Article • Mathematics, August 2021, MDPI AG

    professor Seok-Zun Song

  2. Linear Operators That Preserve Arctic Ranks of Boolean Matrices

    Article • Mathematics, May 2021, MDPI AG

    professor Seok-Zun Song

  3. Types of Complex Fuzzy Relations with Applications in Future Commission Market

    Article • Journal of Mathematics, March 2021, Hindawi Publishing Corporation

    professor Seok-Zun Song

  4. Imploring GE-Filters of GE-Algebras

    Article • Journal of Mathematics, February 2021, Hindawi Publishing Corporation

    professor Seok-Zun Song

  5. Length Neutrosophic Subalgebras of BCK=BCI-Algebras

    Article • Bulletin of the Section of Logic, December 2020, Uniwersytet Lodzki (University of Lodz)

    professor Seok-Zun Song

  6. Star-Shapedness of \({\mathcal N}\)-Structures in Euclidean Spaces

    Article • Axioms, September 2020, MDPI AG

    professor Seok-Zun Song

  7. Hybrid Ideals of BCK/BCI-Algebras

    Article • Axioms, July 2020, MDPI AG

    professor Seok-Zun Song

  8. Minimum-rank and maximum-nullity of graphs and their linear preservers

    Article • Linear and Multilinear Algebra, June 2020, Taylor & Francis

    professor Seok-Zun Song

  9. Linear Operators That Preserve Two Genera of a Graph

    Article • Mathematics, April 2020, MDPI AG

    professor Seok-Zun Song

  10. Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras

    Article • Mathematics, April 2020, MDPI AG

    professor Seok-Zun Song

  11. Multipolar Intuitionistic Fuzzy Set with Finite Degree and Its Application in BCK/BCI-Algebras

    Article • Mathematics, February 2020, MDPI AG

    professor Seok-Zun Song

  12. Linear Maps that Preserve Any Two Term Ranks on Matrix Spaces over Anti-Negative Semirings

    Article • Mathematics, January 2020, MDPI AG

    professor Seok-Zun Song

  13. Constructing Some Logical Algebras with Hoops

    Article • Mathematics, December 2019, MDPI AG

    professor Seok-Zun Song

  14. Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras

    Article • Mathematics, November 2019, MDPI AG

    professor Seok-Zun Song

  15. Neutrosophic Quadruple BCI-Positive Implicative Ideals

    Article • Mathematics, April 2019, MDPI AG

    professor Seok-Zun Song

  16. Linear Operators That Preserve the Genus of a Graph

    Article • Mathematics, March 2019, MDPI AG

    professor Seok-Zun Song

  17. Upper Bounds for the Isolation Number of a Matrix over Semirings

    Article • Mathematics, January 2019, MDPI AG

    professor Seok-Zun Song

  18. Genus of a graph and its strong preservers

    Article • Linear and Multilinear Algebra, December 2018, Taylor & Francis

    professor Seok-Zun Song

  19. Distances between hyper structures and length fuzzy ideals of BCK/BCI-algebras based on hyper structures

    Article • Journal of Intelligent & Fuzzy Systems, August 2018, IOS Press

    professor Seok-Zun Song

  20. Intuitionistic Falling Shadow Theory with Applications in BCK/BCI-Algebras

    Article • Mathematics, August 2018, MDPI AG

    professor Seok-Zun Song

  21. Neutrosophic Quadruple BCK/BCI-Algebras

    Article • Axioms, June 2018, MDPI AG

    Prof. Dr. Florentin Smarandache, Hashem Bordbar, professor Seok-Zun Song

  22. N-Hyper Sets

    Article • Mathematics, May 2018, MDPI AG

    professor Seok-Zun Song

  23. Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras

    Article • Mathematics, May 2018, MDPI AG

    Prof. Dr. Florentin Smarandache, Hashem Bordbar, professor Seok-Zun Song

  24. Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps

    Article • Axioms, April 2018, MDPI AG

    Hashem Bordbar, professor Seok-Zun Song

  25. Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

    Article • Axioms, January 2018, MDPI AG

    professor Seok-Zun Song

  26. Neutrosophic Positive Implicative N -Ideals in BCK-Algebras

    Article • Axioms, January 2018, MDPI AG

    Prof. Dr. Florentin Smarandache, professor Seok-Zun Song

  27. Length-Fuzzy Subalgebras in BCK/BCI-Algebras

    Article • Mathematics, January 2018, MDPI AG

    professor Seok-Zun Song

  28. Hyperfuzzy Ideals in BCK/BCI-Algebras

    Article • Mathematics, December 2017, MDPI AG

    professor Seok-Zun Song

  29. Neutrosophic Commutative N -Ideals in BCK-Algebras

    Article • Information, October 2017, MDPI AG

    Prof. Dr. Florentin Smarandache, professor Seok-Zun Song

  30. A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras

    Article • Journal of Intelligent & Fuzzy Systems, February 2017, IOS Press

    professor Seok-Zun Song

  31. Symmetric arctic ranks of nonnegative matrices and their linear preservers

    Article • Linear and Multilinear Algebra, January 2017, Taylor & Francis

    professor Seok-Zun Song

  32. Starshaped (∈, ∈ ∨ q)-fuzzy sets

    Article • Journal of Intelligent & Fuzzy Systems, August 2016, IOS Press

    professor Seok-Zun Song

  33. Hyper BCK-ideals based on soft set theory

    Article • Asian-European Journal of Mathematics, August 2016, World Scientific Pub Co Pte Lt

    professor Seok-Zun Song

  34. Quotient BCK/BCI-algebras induced by soft sets

    Article • Afrika Matematika, March 2016, Springer Science + Business Media

    professor Seok-Zun Song

  35. Hesitant fuzzy semigroups with a frontier

    Article • Journal of Intelligent & Fuzzy Systems, March 2016, IOS Press

    professor Seok-Zun Song, Professor G. Muhiuddin

  36. Primitive exponent preservers

    Article • Linear Algebra and its Applications, February 2016, Elsevier

    professor Seok-Zun Song

  37. Group Signatures in Practice

    Article • January 2015, Springer Science + Business Media

    professor Seok-Zun Song

  38. Regular matrices and their generalized inverses over the max algebra

    Article • Linear and Multilinear Algebra, October 2014, Taylor & Francis

    professor Seok-Zun Song

  39. Linear operators that preserve graphical properties of matrices: Isolation numbers

    Article • Czechoslovak Mathematical Journal, September 2014, Institute of Mathematics, Czech Academy of Sciences

    professor Seok-Zun Song

  40. LINEAR OPERATORS THAT PRESERVE SETS OF PRIMITIVE MATRICES

    Article • Journal of the Korean Mathematical Society, July 2014, The Korean Mathematical Society

    professor Seok-Zun Song

  41. NONNEGATIVE INTEGRAL MATRICES HAVING GENERALIZED INVERSES

    Article • Communications of the Korean Mathematical Society, April 2014, The Korean Mathematical Society

    professor Seok-Zun Song

  42. Zero-term rank inequalities and their extreme preservers

    Article • Filomat, January 2014, National Library of Serbia

    professor Seok-Zun Song

  43. Ideal Theory in Semigroups Based on Intersectional Soft Sets

    Article • The Scientific World JOURNAL, January 2014, Hindawi Publishing Corporation

    professor Seok-Zun Song

  44. Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

    Article • The Scientific World JOURNAL, January 2014, Hindawi Publishing Corporation

    Professor G. Muhiuddin, professor Seok-Zun Song

  45. EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING

    Article • Journal of the Korean Mathematical Society, January 2014, The Korean Mathematical Society

    professor Seok-Zun Song

  46. MINIMUM PERMANENTS ON DOUBLY STOCHASTIC MATRICES WITH PRESCRIBED ZEROS

    Article • Honam Mathematical Journal, June 2013, The Homan Mathematical Society

    professor Seok-Zun Song

  47. Sets of Integer Matrix Pairs Derived from Row Rank Inequalities and Their Preservers

    Article • Kyungpook mathematical journal, June 2013, Department of Mathematics, Kyungpook National University

    professor Seok-Zun Song

  48. Linear operators that preserve Boolean rank of Boolean matrices

    Article • Czechoslovak Mathematical Journal, June 2013, Springer Science + Business Media

    professor Seok-Zun Song

  49. Extended Quotient and Remainder Theorem in the Polynomial Division

    Article • Research Institute of Education Science Jeju National University, May 2013, Research Institute of Education Science, Jeju National University

    professor Seok-Zun Song

  50. A comparison of term ranks of symmetric matrices and their preservers

    Article • Linear Algebra and its Applications, May 2013, Elsevier

    professor Seok-Zun Song

  51. EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS

    Article • Communications of the Korean Mathematical Society, January 2013, The Korean Mathematical Society

    professor Seok-Zun Song

  52. LINEAR TRANSFORMATIONS THAT PRESERVE TERM RANK BETWEEN DIFFERENT MATRIX SPACES

    Article • Journal of the Korean Mathematical Society, January 2013, The Korean Mathematical Society

    professor Seok-Zun Song

  53. The Combination of Soft Sets and -Structures with Applications

    Article • Journal of Applied Mathematics, January 2013, Hindawi Publishing Corporation

    professor Seok-Zun Song

  54. IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS

    Article • Communications of the Korean Mathematical Society, October 2012, The Korean Mathematical Society

    professor Seok-Zun Song

  55. Linear preservers of term ranks of matrices over semirings

    Article • Linear Algebra and its Applications, April 2012, Elsevier

    professor Seok-Zun Song

  56. CHARACTERIZATIONS OF FALLING FUZZY IDEALS

    Article • Honam Mathematical Journal, March 2012, The Homan Mathematical Society

    professor Seok-Zun Song

  57. Preservers of term ranks of symmetric matrices

    Article • Linear Algebra and its Applications, March 2012, Elsevier

    professor Seok-Zun Song

  58. Term rank preservers of Boolean matrices

    Article • Linear and Multilinear Algebra, February 2012, Taylor & Francis

    professor Seok-Zun Song

  59. Falling fuzzy quasi-associative ideals of BCI-algebras

    Article • Filomat, January 2012, National Library of Serbia

    professor Seok-Zun Song

  60. Codes based on BCK-algebras

    Article • Information Sciences, November 2011, Elsevier

    professor Seok-Zun Song

  61. BCK- lters Based on Fuzzy Points with Threshold

    Article • Kyungpook mathematical journal, March 2011, Department of Mathematics, Kyungpook National University

    professor Seok-Zun Song

  62. Linear maps that strongly preserve regular matrices over the Boolean algebra

    Article • Czechoslovak Mathematical Journal, March 2011, Institute of Mathematics, Czech Academy of Sciences

    professor Seok-Zun Song

  63. Minimum permanents on two faces of the polytope of doubly stochastic matrices

    Article • Linear Algebra and its Applications, January 2011, Elsevier

    professor Seok-Zun Song

  64. Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points

    Article • Neural Computing and Applications, October 2010, Springer Science + Business Media

    professor Seok-Zun Song

  65. A q-ANALOGUE OF THE GENERALIZED FACTORIAL NUMBERS

    Article • Journal of the Korean Mathematical Society, May 2010, The Korean Mathematical Society

    professor Seok-Zun Song

  66. EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS

    Article • Journal of the Korean Mathematical Society, January 2010, The Korean Mathematical Society

    professor Seok-Zun Song

  67. Generalized anti fuzzy bi-ideals in ordered semigroups

    Article • Lobachevskii Journal of Mathematics, January 2010, Pleiades Publishing Ltd

    professor Seok-Zun Song

  68. Dimension of the intersection of a pair of orthogonal groups

    Article • International Journal of Computer Mathematics, November 2009, Taylor & Francis

    professor Seok-Zun Song

  69. BOOLEAN REGULAR MATRICES AND THEIR STRONGLY PRESERVERS

    Article • Bulletin of the Korean Mathematical Society, March 2009, The Korean Mathematical Society

    professor Seok-Zun Song

  70. Linear Preservers of Perimeters of Nonnegative Real Matrices

    Article • Kyungpook mathematical journal, September 2008, Department of Mathematics, Kyungpook National University

    professor Seok-Zun Song

  71. Extreme preservers of maximal column rank inequalities of matrix sums over semirings

    Article • Czechoslovak Mathematical Journal, September 2008, Institute of Mathematics, Czech Academy of Sciences

    professor Seok-Zun Song

  72. Idempotent Boolean matrices and majorization

    Article • Journal of Mathematical Sciences, July 2008, Springer Science + Business Media

    professor Seok-Zun Song

  73. Regular matrices and their strong preservers over semirings

    Article • Linear Algebra and its Applications, July 2008, Elsevier

    professor Seok-Zun Song

  74. Frobenius and Dieudonné theorems over semirings

    Article • Linear and Multilinear Algebra, January 2007, Taylor & Francis

    professor Seok-Zun Song

  75. Invertible commutativity preservers of matrices over max algebra

    Article • Czechoslovak Mathematical Journal, December 2006, Institute of Mathematics, Czech Academy of Sciences

    professor Seok-Zun Song

  76. Generalized fuzzy interior ideals in semigroups

    Article • Information Sciences, October 2006, Elsevier

    professor Seok-Zun Song

  77. Perimeter preserver of matrices over semifields

    Article • Czechoslovak Mathematical Journal, June 2006, Springer Science + Business Media

    professor Seok-Zun Song

  78. Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

    Article • Linear Algebra and its Applications, March 2006, Elsevier

    professor Seok-Zun Song

  79. Linear preservers of zeros of matrix polynomials

    Article • Linear Algebra and its Applications, May 2005, Elsevier

    professor Seok-Zun Song

  80. Column ranks and their preservers over nonnegative real matrices

    Article • Linear Algebra and its Applications, April 2005, Elsevier

    professor Seok-Zun Song

  81. Separability of distinct Boolean rank-1 matrices

    Article • Journal of Applied Mathematics and Computing, March 2005, Springer Science + Business Media

    professor Seok-Zun Song

  82. Linear transformations preserving the Grassmannian over Mn(Z+)

    Article • Linear Algebra and its Applications, December 2004, Elsevier

    professor Seok-Zun Song

  83. On fuzzy h-ideals in hemirings

    Article • Information Sciences, June 2004, Elsevier

    professor Seok-Zun Song

  84. Zero-Term Ranks of Real Matrices and Their Preservers

    Article • Czechoslovak Mathematical Journal, March 2004, Institute of Mathematics, Czech Academy of Sciences

    professor Seok-Zun Song

  85. Sparse orthogonal matrices

    Article • Linear Algebra and its Applications, November 2003, Elsevier

    professor Seok-Zun Song

  86. Extremes of permanents of (0,1)-matrices

    Article • Linear Algebra and its Applications, November 2003, Elsevier

    professor Seok-Zun Song

  87. Matrices determined by a linear recurrence relation among entries

    Article • Linear Algebra and its Applications, November 2003, Elsevier

    professor Seok-Zun Song

  88. Column Ranks and Their Preservers of Matrices Over Max Algebra

    Article • Linear and Multilinear Algebra, September 2003, Taylor & Francis

    professor Seok-Zun Song

  89. Linear Operators that Preserve Commuting Pairs of Nonnegative Real Matrices

    Article • Linear and Multilinear Algebra, September 2003, Taylor & Francis

    professor Seok-Zun Song

  90. Permanents of woven matrices

    Article • Linear Algebra and its Applications, May 2003, Elsevier

    professor Seok-Zun Song

  91. Rook polynomials to and from permanents

    Article • Discrete Mathematics, March 2003, Elsevier

    professor Seok-Zun Song

  92. Fuzzy pseudo-ideals of pseudo-BCK algebras

    Article • Journal of Applied Mathematics and Computing, January 2003, Springer Science + Business Media

    professor Seok-Zun Song

  93. Minimum Permanents on a Face of the Polytope of Doubly Stochastic Matrices II

    Article • Linear and Multilinear Algebra, January 2002, Taylor & Francis

    professor Seok-Zun Song

  94. Minimum Permanents of Tridiagonal Doubly Stochastic Matrices

    Article • Linear and Multilinear Algebra, January 2002, Taylor & Francis

    professor Seok-Zun Song

  95. Zero-term rank preservers∗

    Article • Linear and Multilinear Algebra, April 2001, Taylor & Francis

    professor Seok-Zun Song

  96. Rank preservers of matrices over max algebra

    Article • Linear and Multilinear Algebra, December 2000, Taylor & Francis

    professor Seok-Zun Song

  97. On convertible complex matrices

    Article • Linear Algebra and its Applications, January 1996, Elsevier

    professor Seok-Zun Song

  98. A conjecture on permanents

    Article • Linear Algebra and its Applications, June 1995, Elsevier

    professor Seok-Zun Song

  99. On maximal convertible matrices

    Article • Linear and Multilinear Algebra, March 1995, Taylor & Francis

    professor Seok-Zun Song

  100. Linear operators that preserve column rank of fuzzy matrices

    Article • Fuzzy Sets and Systems, March 1994, Elsevier

    professor Seok-Zun Song

  101. Linear operators that preserve column rank of Boolean matrices

    Article • Proceedings of the American Mathematical Society, January 1993, American Mathematical Society (AMS)

    professor Seok-Zun Song

  102. Minimum permanents on certain doubly stochastic matrices. II

    Article • Linear Algebra and its Applications, January 1992, Elsevier

    professor Seok-Zun Song

  103. Minimum permanents on certain doubly stochastic matrices

    Article • Linear Algebra and its Applications, January 1991, Elsevier

    professor Seok-Zun Song

  104. Minimum permanents on certain faces of matrices containing an identity submatrix

    Article • Linear Algebra and its Applications, September 1988, Elsevier

    professor Seok-Zun Song