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n-Dimensional Extended Index Matrices Part 2

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초록

Index Matrices (IMs) are extensions of the ordinary matrices. They are also object of extensions and modifications, e.g., extended index matrices. The present paper is the second part of our research over n-dimensional extended IMs. Here, we introduce new operations and relations over these matrices.

Abstract

Index Matrices (IMs) are extensions of the ordinary matrices. They are also object of extensions and modifications, e.g., extended index matrices. The present paper is the second part of our research over n-dimensional extended IMs. Here, we introduce new operations and relations over these matrices.

참고문헌 (20)

  1. Atanassov K., "Conditions in Generalized nets", Proc. of the XIII Spring Conf. of the Union of Bulg. Math, pp.219~226 (1984)
  2. Atanassov K., "Generalized index matrices", Comptes rendus de l'Academie Bul-gare des Sciences, 40, pp.15~18 (1987)
  3. Krassimir T. Atanassov, "ON INDEX MATRICES Part 1: Standard cases", Advanced Studies in Contemporary Mathematics, 20(2), pp.291~302 (2010), 장전수학회
  4. Krassimir T. Atanassov, "ON INDEX MATRICES Part 3: On the hierarchical operation over index matrix", Advanced Studies in Contemporary Mathematics, 23(2), pp.225~231 (2013), 장전수학회
  5. K. T. Atanassov, "On index matrices Part 5: Three dimensional index matrices", Advanced Studies in Contemporary Mathematics, 24(4), pp.423~429 (2014), 장전수학회
  6. Atanassov, K., "Index matrices with function-type of elements", International Journal Information Models and Analyses, 3(2), pp.103~112 (2014)
  7. Atanassov, K., "Extended index matrices", Intelligent systems2014, pp.305~317 (2015), Springer
  8. Atanassov, K., "Index Matrices: Towards an Augmented Matrix Calculus" (2014), Springer
  9. Atanassov, K., "Extended index matrices", Intelligent systems2014, pp.305~317 (2015), Springer
  10. Atanassov, K., "Index matrices with function-type of elements", Part 2, Interna-tional Journal Information Models and Analyses, 4(2), pp.117~121 (2015)
  11. Atanassov, K., "Intuitionistic Fuzzy Logics" (2017), Springer
  12. Krassimir T. Atanassov, "Index matrices with elements index matrices", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(2), pp.221~228 (2018), 장전수학회[DOI]
  13. Krassimir T. Atanassov, "n-Dimensional Extended Index Matrices Part 1", Advanced Studies in Contemporary Mathematics, 28(2), pp.245~259 (2018), 장전수학회[DOI]
  14. Krassimir Atanassov, "On index matrices Part 4: new operations over index matrices", Advanced Studies in Contemporary Mathematics, 23(3), pp.545~550 (2013), 장전수학회
  15. VESELINA BUREVA, "Index matrices and Olap-cube Part 2 : an presentation of the Olap-analysis by index matrices", Advanced Studies in Contemporary Mathematics, 27(4), pp.647~672 (2017), 장전수학회[DOI]
  16. VESELINA BUREVA, "Index matrices and Olap-cube Part 4: a presentation of the Olap "Drill Across" operation by index matrices", Advanced Studies in Contemporary Mathematics, 29(1), pp.109~123 (2019), 장전수학회[DOI]
  17. VESELINA BUREVA, "INDEX MATRICES AND OLAP-CUBE PART 5: INDEX MATRIX OPERATIONS OVER OLAP-CUBE", Advanced Studies in Contemporary Mathematics, 30(1), pp.69~88 (2020), 장전수학회
  18. VELICHKA TRANEVA, "Index matrices and Olap-cube Part 1: application of the index matrices to presentation of operations in Olap-cube", Advanced Studies in Contemporary Mathematics, 27(2), pp.253~278 (2017), 장전수학회[DOI]
  19. VELICHKA TRANEVA, "INDEX MATRICES AND OLAP-CUBE PART 3: A PRESENTATION OF THE OLAP “INTERCUBE SET” AND “DATA CUBE” OPERATIONS BY INDEX MATRICES", Advanced Studies in Contemporary Mathematics, 28(3), pp.423~448 (2018), 장전수학회[DOI]
  20. Velichka Traneva, "Aggregation operations over 3-dimensional extended index matrices", Advanced Studies in Contemporary Mathematics, 25(3), pp.411~421 (2015), 장전수학회

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