Notes on Fuzzy Parametrized Soft Sets

Yıl 2018, Cilt: 39 Sayı: 4, 818 - 827, 24.12.2018

İdris Zorlutuna Serkan Atmaca

https://doi.org/10.17776/csj.481587

Cited By: 3

Öz

In this paper, we introduced the notion of inverse Fp
soft set and studied some properties of it. Moreover, by using this new concept
we characterized the continuity of Fp soft mappings and continuity of fuzzy
soft mapping.

Anahtar Kelimeler

Fuzzy soft set, fuzzy parametrized soft set, fuzzy soft contiunity, 2000, 03E72, 54C05, 54D30

Bulanık Parametreli Esnek Kümeler Üzerine Notlar

Öz

Bu makalede devrik bulanık parametreli esnek küme
kavramına giriş yapılarak, bu kümelerin bazı özellikleri çalışılacaktır. Ek
olarak, bu yeni kavram yardımıyla Fp esnek dönüşümlerin ve bulanık esnek
dönüşümlerin süreklilikleri karakterize edilecektir.

Anahtar Kelimeler

Bulanık esnek küme, Bulanık parametreli esnek küme, Bulanık esnek süreklilik, 2000, 03E72, 54C05, 54D30

Kaynakça

• [1]. Zadeh, L. A. Fuzzy sets, Inform. and Control 8 (1965) 338-353.
• [2]. Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968) 182-190.
• [3]. Molodtsov, D. Soft set theory-First results, Comput. Math. Appl. 37 (4/5) (1999) 19-31.
• [4]. Çağman N., Karataş S. and Enginoğlu S., Soft topology, Comput. Math. Appl. 62 (2011) 351-358.
• [5]. Zorlutuna I., Akdag M., Min W.K. and Atmaca S., Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2) (2011) 171-185.
• [6]. Shabir M. and Naz M., On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799.
• [7]. Feng F., Jun Y. B. , Liu X. Y. and Li L. F. , An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234 (2010) 10-20.
• [8]. Çağman N. and Enginoğlu S., Soft set theory and uni-int decision making, European J. Oper. Res. 207 (2010) 848-855.
• [9]. Maji, P. K., Biswas, R. and Roy, A. R. Fuzzy soft sets, Journal of Fuzzy Mathematics, 203 (2) (2001) 589-602.
• [10]. Atmaca, S. Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces, Cumhuriyet Science Journal, 38(4) (2017) 77-85.
• [11]. Tanay, B. and Kandemir, M. B. Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
• [12]. Şimsekler, T. and Yüksel, S. Fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (1) (2013) 87-96.
• [13]. Aygünoğlu A. and Aygün H., Introduction to fuzzy soft groups, Comput. Math. Appl. 58 (2009) 1279-1286.
• [14]. Feng F., Jun Y. B. and Zhao X. , Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
• [15]. Çağman, N., Çıtak, F. and Enginoglu, S. FP-soft set theory and its applications, Ann. Fuzzy Math. Inform. 2 (2) (2011) 219-226.
• [16]. Çağman, N. and Deli, İ. Products of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (3) (2012) 365-374.
• [17]. Çağman, N. and Deli, İ. Means of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (5) (2012) 615-625.
• [18]. Ming, P. B. and Ming, L. Y. Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980) 571-599.
• [19]. S. Roy, T.K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3 (2) (2012) 305-311.
• [20]. A. Kharal, B. Ahmad, Mappings on Fuzzy Soft Classes, Hindawi Publising Corporation Advances in Fuzzy Systems, Article ID 407890 (2009) 6 pages.
• [21]. Atmaca, S. and Zorlutuna, İ. On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
• [22]. Varol, B. P. and Aygün, H. Fuzzy soft topology, Hacet. J. Math. Stat. 41 (3) (2012) 407-419.
• [23]. Atmaca, S. and Zorlutuna, İ. On Topological Structures of Fuzzy Parametrized Soft Sets Scientific World Journal.; doi: 10.1155/2014/164176 (2014).