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A New View on Soft Rings  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 2, 273 - 286, 01.02.2011

Y. Çelik C. Ekiz  s. Yamak

Keywords

-

References

  • Acar, U., Koyuncu, F. and Tanay, B. Soft sets and soft rings, Computers and Mathematics with Applications 59, 3458–3463, 2010.
  • Akta¸s, H. and Cagman, N. Soft sets and soft groups, Information Sciences 177, 2726–2735, 2007.
  • Aygunoglu A. and Aygun, H. Introduction to fuzzy soft groups, Computers and Mathematics with Applications 58, 1279–1286, 2009.
  • Babitha, K. V. and Sunil, J. J. Soft set relations and functions, Computers and Mathematics with Applications 60, 1840–1849, 2010.
  • Chen, D., Tsang E. C. C., Yeung, D. S. and Wang, X. The parametrization reduction of soft sets and its applications, Computers and Mathematics with Applications 49, 757–763, 2005.
  • Cagman, N. and Engino˘glu, S. Soft matrix theory and its decision making, Computers and Mathematics with Applications 59, 3308–3314, 2010.
  • Irfan Ali, M., Feng, F., Liu, X., Min, W. K. and Shabir, M. On some new operations in soft set theory, Computers and Mathematics with Applications 57, 1547–1553, 2009.
  • Feng, F., Jun, Y. B. and Zhao, X. Soft semirings, Computers and Mathematics with Applications 56, 2621–2628, 2008.
  • Feng, F., Li, C., Davvaz, B. and Irfan Ali, M. Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Comput. 14, 899–911, 2010.
  • Jacobson, N. Basic Algebra I (W. H Freeman & Co., San Francisco, 1974).
  • Jin-liang, L., Rui-xia, Y. and Bing-xue, Y. Fuzzy Soft Sets and Fuzzy Soft Groups (Chinese Control and Decision Conference, 2626–2629, 2008).
  • Jun, Y. B. Soft BCK/BCI-algebras, Computers and Mathematics with Applications 56, 1408–1413, 2008.
  • Jun, Y. B., Lee, K. J. and Park, C. H. Soft set theory applied to ideals in d-algebras, Computers and Mathematics with Applications 57, 367–378, 2009.
  • Jun, Y. B., Lee, K. J. and Park, C. H. Fuzzy soft set theory applied to BCK/BCI-algebras, Computers and Mathematics with Applications 59, 3180–3192, 2010.
  • Jun, Y. B., Lee K. J. and Zhan J. Soft p-ideals of soft BCI-algebras, Computers and Mathematics with Applications 58, 2060–2068, 2009.
  • Jun, Y. B. and Park, C. H. Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Sciences 178, 2466–2475, 2008.
  • Jun, Y. B. and Song, S. Z. Soft subalgebras and soft ideals of BCK/BCI-algebras related to fuzzy set theory, Math Commun. 14, 271–282, 2009.
  • Jun, Y. B., Song, S. Z. and So, K. S. Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points, Neural Comput. and Applications, DOI 10.1007/s00521-010-0460-y, 2010.
  • Kazancı, O., Yılmaz, S¸. and Yamak, S. Soft sets and soft BCH-algebras, Hacettepe J. Math. Stat. 39 (2), 205–217, 2010.
  • Liu, X., Xiang, D. and Zhan, J. Fuzzy isomorphism theorems of soft rings, Neural Comput. and Applications, DOI 10.1007/s00521-010-0439-8, 2010.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Computers and Mathematics with Applications 45, 555–562, 2003.
  • 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, 1077–1083, 2002.
  • Majumdar, P. and Samanta, S. K. On soft mappings, Computers and Mathematics with Applications 60, 2666–2672, 2010.
  • Majumdar, P. and Samanta, S. K. Generalized fuzzy soft sets, Computers and Mathematics with Applications 59, 1425–1432, 2010.
  • Molodtsov, D. Soft set theory - first results, Computers and Mathematics with Applications 37, 19–31, 1999.
  • Pawlak, Z. Rough sets, Int. J. Comput. Inf. Sci. 11, 342–356, 1982.
  • Pei, D.W. and Miao, D. From soft sets to information systems, in: Granular Computing, IEEE International Conference 2, 617–621, 2005.
  • Sun, Q. -M., Zhang, Z. -L. and Liu, J. Soft sets and soft modules, Lecture Notes in Comput. Sci. 5009, 403–409, 2008.
  • Yamak, S., Kazancı, O. and Davvaz, B. Soft hyperstructure, Computers and Mathematics with Applications, submitted.
  • Yang, X., Lin, T. Y., Yang, J., Li, Y. and Yu, D. Combination of interval-valued fuzzy set and soft set, Computers and Mathematics with Applications 58, 521–527, 2009.
  • Zadeh, L. A. Fuzzy sets, Inform. Control 8, 338–353, 1965.
  • Zhan, J. and Jun, Y. B. Soft BL-algebras based on fuzzy sets, Computers and Mathematics with Applications 59, 2037–2046, 2010.

A New View on Soft Rings  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 2, 273 - 286, 01.02.2011

Y. Çelik C. Ekiz  s. Yamak

Keywords

-

References

  • Acar, U., Koyuncu, F. and Tanay, B. Soft sets and soft rings, Computers and Mathematics with Applications 59, 3458–3463, 2010.
  • Akta¸s, H. and Cagman, N. Soft sets and soft groups, Information Sciences 177, 2726–2735, 2007.
  • Aygunoglu A. and Aygun, H. Introduction to fuzzy soft groups, Computers and Mathematics with Applications 58, 1279–1286, 2009.
  • Babitha, K. V. and Sunil, J. J. Soft set relations and functions, Computers and Mathematics with Applications 60, 1840–1849, 2010.
  • Chen, D., Tsang E. C. C., Yeung, D. S. and Wang, X. The parametrization reduction of soft sets and its applications, Computers and Mathematics with Applications 49, 757–763, 2005.
  • Cagman, N. and Engino˘glu, S. Soft matrix theory and its decision making, Computers and Mathematics with Applications 59, 3308–3314, 2010.
  • Irfan Ali, M., Feng, F., Liu, X., Min, W. K. and Shabir, M. On some new operations in soft set theory, Computers and Mathematics with Applications 57, 1547–1553, 2009.
  • Feng, F., Jun, Y. B. and Zhao, X. Soft semirings, Computers and Mathematics with Applications 56, 2621–2628, 2008.
  • Feng, F., Li, C., Davvaz, B. and Irfan Ali, M. Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Comput. 14, 899–911, 2010.
  • Jacobson, N. Basic Algebra I (W. H Freeman & Co., San Francisco, 1974).
  • Jin-liang, L., Rui-xia, Y. and Bing-xue, Y. Fuzzy Soft Sets and Fuzzy Soft Groups (Chinese Control and Decision Conference, 2626–2629, 2008).
  • Jun, Y. B. Soft BCK/BCI-algebras, Computers and Mathematics with Applications 56, 1408–1413, 2008.
  • Jun, Y. B., Lee, K. J. and Park, C. H. Soft set theory applied to ideals in d-algebras, Computers and Mathematics with Applications 57, 367–378, 2009.
  • Jun, Y. B., Lee, K. J. and Park, C. H. Fuzzy soft set theory applied to BCK/BCI-algebras, Computers and Mathematics with Applications 59, 3180–3192, 2010.
  • Jun, Y. B., Lee K. J. and Zhan J. Soft p-ideals of soft BCI-algebras, Computers and Mathematics with Applications 58, 2060–2068, 2009.
  • Jun, Y. B. and Park, C. H. Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Sciences 178, 2466–2475, 2008.
  • Jun, Y. B. and Song, S. Z. Soft subalgebras and soft ideals of BCK/BCI-algebras related to fuzzy set theory, Math Commun. 14, 271–282, 2009.
  • Jun, Y. B., Song, S. Z. and So, K. S. Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points, Neural Comput. and Applications, DOI 10.1007/s00521-010-0460-y, 2010.
  • Kazancı, O., Yılmaz, S¸. and Yamak, S. Soft sets and soft BCH-algebras, Hacettepe J. Math. Stat. 39 (2), 205–217, 2010.
  • Liu, X., Xiang, D. and Zhan, J. Fuzzy isomorphism theorems of soft rings, Neural Comput. and Applications, DOI 10.1007/s00521-010-0439-8, 2010.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Computers and Mathematics with Applications 45, 555–562, 2003.
  • 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, 1077–1083, 2002.
  • Majumdar, P. and Samanta, S. K. On soft mappings, Computers and Mathematics with Applications 60, 2666–2672, 2010.
  • Majumdar, P. and Samanta, S. K. Generalized fuzzy soft sets, Computers and Mathematics with Applications 59, 1425–1432, 2010.
  • Molodtsov, D. Soft set theory - first results, Computers and Mathematics with Applications 37, 19–31, 1999.
  • Pawlak, Z. Rough sets, Int. J. Comput. Inf. Sci. 11, 342–356, 1982.
  • Pei, D.W. and Miao, D. From soft sets to information systems, in: Granular Computing, IEEE International Conference 2, 617–621, 2005.
  • Sun, Q. -M., Zhang, Z. -L. and Liu, J. Soft sets and soft modules, Lecture Notes in Comput. Sci. 5009, 403–409, 2008.
  • Yamak, S., Kazancı, O. and Davvaz, B. Soft hyperstructure, Computers and Mathematics with Applications, submitted.
  • Yang, X., Lin, T. Y., Yang, J., Li, Y. and Yu, D. Combination of interval-valued fuzzy set and soft set, Computers and Mathematics with Applications 58, 521–527, 2009.
  • Zadeh, L. A. Fuzzy sets, Inform. Control 8, 338–353, 1965.
  • Zhan, J. and Jun, Y. B. Soft BL-algebras based on fuzzy sets, Computers and Mathematics with Applications 59, 2037–2046, 2010.
There are 32 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Y. Çelik This is me

C. Ekiz This is me

 s. Yamak This is me

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 2

Cite

APA Çelik, Y., Ekiz, C., & Yamak, . (2011). A New View on Soft Rings  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(2), 273-286.
AMA Çelik Y, Ekiz C, Yamak . A New View on Soft Rings  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. February 2011;40(2):273-286.
Chicago Çelik, Y., C. Ekiz, and  s. Yamak. “A New View on Soft Rings  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 2 (February 2011): 273-86.
EndNote Çelik Y, Ekiz C, Yamak  (February 1, 2011) A New View on Soft Rings  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 2 273–286.
IEEE Y. Çelik, C. Ekiz, and  . Yamak, “A New View on Soft Rings  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 273–286, 2011.
ISNAD Çelik, Y. et al. “A New View on Soft Rings  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 2011), 273-286.
JAMA Çelik Y, Ekiz C, Yamak . A New View on Soft Rings  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:273–286.
MLA Çelik, Y. et al. “A New View on Soft Rings  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, 2011, pp. 273-86.
Vancouver Çelik Y, Ekiz C, Yamak . A New View on Soft Rings  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(2):273-86.

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