MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS

MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS

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.

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  • 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).