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MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS

Year 2012, Volume: 41 Issue: 5, 615 - 625, 01.05.2012

Naim Çağman İrfan Deli

Abstract

Soft set theory was firstly introduced by Molodtsov in 1999 as a general mathematical tool for dealing with problems that contain uncertainties. In this paper, we first give most of the fundamental definitions of FPsoft set theory. We secondly define means of FP-soft sets and study their related properties. We then define decision making methods on FP-soft set theory. We finally apply the method successfully to problems that contain fuzzy objects.

Keywords

Soft sets Fuzzy sets FP-soft sets AND-means OR-means Decision making

References

  • Acar, U., Koyuncu, F. and Tanay, B. Soft sets and soft rings, Comput. Math. Appl. 59, –3463, 2010.
  • Ali, M. I., Feng, F., Liu, X., Min, W. K. and Shabir, M. On some new operations in soft set theory, Comput. Math. Appl. 57, 1547–1553, 2009.
  • Akta¸s, H. and C¸ a˘gman, N. Soft sets and soft groups, Inform. Sci. 177, 2726–2735, 2007.
  • C¸ a˘gman, N. and Engino˘glu, S. Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207, 848–855, 2010.
  • C¸ a˘gman, N. and Engino˘glu, S. Soft matrix theory and its decision making, Comput. Math. Appl. 59, 3308–3314, 2010. C¸ a˘gman, N., C ıtak, F. and Akta¸s, H. Soft int-group and its applications to group theory,
  • Neural Computing and Applications 21, 151–158, 2012.
  • C¸ a˘gman, N. and Engino˘glu, S. Fuzzy soft matrix theory and its applications in decision making, Iranian Journal of Fuzzy Systems 9 (1), 109–119, 2012. C¸ a˘gman, N. C ıtak, F. and Engino˘ glu, S. FP-soft set theory and its applications, Annals of
  • Fuzzy Mathematics and Informatics 2 (2), 219–226, 2011.
  • C¸ a˘gman, N., Karata¸s, S. and Engino˘glu, S. Soft topology, Computers and Mathematics with Applications 62, 351–358, 2011. C¸ a˘ gman, N., C ıtak, F. and Engino˘ glu, S. Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1, 21–35, 2010. C¸ a˘ gman, N. Engino˘glu, S. and C. ıtak, F. Fuzzy soft set theory and its applications, Iran. J. Fuzzy Syst. 8 (3), 137–147, 2011.
  • Deli, I. Means of Fuzzy Parameterized Soft Sets and its Applications (In Turkish) (Masters Thesis, Gaziosmanpasa University, Graduate School of Natural and Applied Science, 2010).
  • Feng, F., Liu, X. Y., Leoreanu-Fotea, V. and Jun, Y. B. Soft sets and soft rough sets, Inform. Sci. 181 (6), 1125–1137, 2011.
  • Feng, F., Jun, Y. B., Liu, X. and Li, L. An adjustable approach to fuzzy soft set based decision making, J. Comput. App. Math. 234, 10–20, 2010.
  • Feng, F., Li, L. and C¸ a˘gman, N. Generalized uni-int decision making schemes based on choice value soft sets, European Journal of Operational Research 220, 162–170, 2012.
  • Jun, Y. B., Lee, K. J. and Khan, A. Soft ordered semigroups, Math. Logic Q. 56 (1), 42–50, Karaaslan, F., Ca˘gman N. and Engino˘glu, S. Soft lattices, Journal of New Results in Science , 5–17, 2012.
  • Kovkov, D. V., Kolbanov, V. M. and Molodtsov, D. A. Soft sets theory-based optimization, J. Comput. Sys. Sc. Int. 46 (6), 872–880, 2007.
  • Maji, P. K., Roy, A. R. and Biswas, R. An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077–1083, 2002.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl. 45, 555–562, Majumdar, P. and Samanta, S. K. Generalised fuzzy soft sets, Comput. Math. Appl. 59, –1432, 2010.
  • Molodtsov, D. A. Soft set theory-first results, Comput. Math. Appl. 37, 19–31, 1999.
  • Park, C. H., Jun, Y. B. and ¨Ozt¨urk, M. A. Soft WS-algebras, Commun. Korean Math. Soc. (3), 313–324, 2008.
  • Roy, A. R. and Maji, P. K. A fuzzy soft set theoretic approach to decision making problems, J. Comput. App. Math. 203, 412–418, 2007.
  • Sezgin, A. and Atag¨un, A. O. On operations of soft sets, Comput. Math. Appl. 61 (5), –1467, 2011.
  • Sezgin, A. Atag¨un, A. O. and C¸ a˘gman N. Soft intersection near-rings with its applications, Neural Computing and Applications 21, 221–229, 2012.
  • Sezgin, A., Atag¨un, A. O. and C¸ a˘gman N. Union soft substructures of near-rings and N- groups, Neural Computing and Applications 21, 133–143, 2012.
  • Zadeh, L. A. Fuzzy sets, Inform. and Control 8, 338–353, 1965.
  • Zimmermann, H. J. Fuzzy Set Theory and its Applications (Kluwer Academic, 2th edition, Dordrecht, 1991).

MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS

Year 2012, Volume: 41 Issue: 5, 615 - 625, 01.05.2012

Naim Çağman İrfan Deli

Abstract

References

  • Acar, U., Koyuncu, F. and Tanay, B. Soft sets and soft rings, Comput. Math. Appl. 59, –3463, 2010.
  • Ali, M. I., Feng, F., Liu, X., Min, W. K. and Shabir, M. On some new operations in soft set theory, Comput. Math. Appl. 57, 1547–1553, 2009.
  • Akta¸s, H. and C¸ a˘gman, N. Soft sets and soft groups, Inform. Sci. 177, 2726–2735, 2007.
  • C¸ a˘gman, N. and Engino˘glu, S. Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207, 848–855, 2010.
  • C¸ a˘gman, N. and Engino˘glu, S. Soft matrix theory and its decision making, Comput. Math. Appl. 59, 3308–3314, 2010. C¸ a˘gman, N., C ıtak, F. and Akta¸s, H. Soft int-group and its applications to group theory,
  • Neural Computing and Applications 21, 151–158, 2012.
  • C¸ a˘gman, N. and Engino˘glu, S. Fuzzy soft matrix theory and its applications in decision making, Iranian Journal of Fuzzy Systems 9 (1), 109–119, 2012. C¸ a˘gman, N. C ıtak, F. and Engino˘ glu, S. FP-soft set theory and its applications, Annals of
  • Fuzzy Mathematics and Informatics 2 (2), 219–226, 2011.
  • C¸ a˘gman, N., Karata¸s, S. and Engino˘glu, S. Soft topology, Computers and Mathematics with Applications 62, 351–358, 2011. C¸ a˘ gman, N., C ıtak, F. and Engino˘ glu, S. Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1, 21–35, 2010. C¸ a˘ gman, N. Engino˘glu, S. and C. ıtak, F. Fuzzy soft set theory and its applications, Iran. J. Fuzzy Syst. 8 (3), 137–147, 2011.
  • Deli, I. Means of Fuzzy Parameterized Soft Sets and its Applications (In Turkish) (Masters Thesis, Gaziosmanpasa University, Graduate School of Natural and Applied Science, 2010).
  • Feng, F., Liu, X. Y., Leoreanu-Fotea, V. and Jun, Y. B. Soft sets and soft rough sets, Inform. Sci. 181 (6), 1125–1137, 2011.
  • Feng, F., Jun, Y. B., Liu, X. and Li, L. An adjustable approach to fuzzy soft set based decision making, J. Comput. App. Math. 234, 10–20, 2010.
  • Feng, F., Li, L. and C¸ a˘gman, N. Generalized uni-int decision making schemes based on choice value soft sets, European Journal of Operational Research 220, 162–170, 2012.
  • Jun, Y. B., Lee, K. J. and Khan, A. Soft ordered semigroups, Math. Logic Q. 56 (1), 42–50, Karaaslan, F., Ca˘gman N. and Engino˘glu, S. Soft lattices, Journal of New Results in Science , 5–17, 2012.
  • Kovkov, D. V., Kolbanov, V. M. and Molodtsov, D. A. Soft sets theory-based optimization, J. Comput. Sys. Sc. Int. 46 (6), 872–880, 2007.
  • Maji, P. K., Roy, A. R. and Biswas, R. An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077–1083, 2002.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl. 45, 555–562, Majumdar, P. and Samanta, S. K. Generalised fuzzy soft sets, Comput. Math. Appl. 59, –1432, 2010.
  • Molodtsov, D. A. Soft set theory-first results, Comput. Math. Appl. 37, 19–31, 1999.
  • Park, C. H., Jun, Y. B. and ¨Ozt¨urk, M. A. Soft WS-algebras, Commun. Korean Math. Soc. (3), 313–324, 2008.
  • Roy, A. R. and Maji, P. K. A fuzzy soft set theoretic approach to decision making problems, J. Comput. App. Math. 203, 412–418, 2007.
  • Sezgin, A. and Atag¨un, A. O. On operations of soft sets, Comput. Math. Appl. 61 (5), –1467, 2011.
  • Sezgin, A. Atag¨un, A. O. and C¸ a˘gman N. Soft intersection near-rings with its applications, Neural Computing and Applications 21, 221–229, 2012.
  • Sezgin, A., Atag¨un, A. O. and C¸ a˘gman N. Union soft substructures of near-rings and N- groups, Neural Computing and Applications 21, 133–143, 2012.
  • Zadeh, L. A. Fuzzy sets, Inform. and Control 8, 338–353, 1965.
  • Zimmermann, H. J. Fuzzy Set Theory and its Applications (Kluwer Academic, 2th edition, Dordrecht, 1991).
There are 25 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Naim Çağman This is me

İrfan Deli This is me

Publication Date May 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 5

Cite

APA Çağman, N., & Deli, İ. (2012). MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS. Hacettepe Journal of Mathematics and Statistics, 41(5), 615-625.
AMA Çağman N, Deli İ. MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS. Hacettepe Journal of Mathematics and Statistics. May 2012;41(5):615-625.
Chicago Çağman, Naim, and İrfan Deli. “MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS”. Hacettepe Journal of Mathematics and Statistics 41, no. 5 (May 2012): 615-25.
EndNote Çağman N, Deli İ (May 1, 2012) MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS. Hacettepe Journal of Mathematics and Statistics 41 5 615–625.
IEEE N. Çağman and İ. Deli, “MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, pp. 615–625, 2012.
ISNAD Çağman, Naim - Deli, İrfan. “MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS”. Hacettepe Journal of Mathematics and Statistics 41/5 (May 2012), 615-625.
JAMA Çağman N, Deli İ. MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS. Hacettepe Journal of Mathematics and Statistics. 2012;41:615–625.
MLA Çağman, Naim and İrfan Deli. “MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, 2012, pp. 615-2.
Vancouver Çağman N, Deli İ. MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS. Hacettepe Journal of Mathematics and Statistics. 2012;41(5):615-2.

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