Yıl 2020,
Cilt: 3 Sayı: 4, 144 - 155, 23.12.2020
Soheyb Milles
,
Ergün Nart
,
Farhan Ismail
Abdelkrim Latreche
Kaynakça
- [1] K. Atanassov, Intuitionistic fuzzy sets, VII ITKRs Scientific Session, Sofia, 1983.
- [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96, doi:10.1016/S0165-0114(86)80034-3
- [3] K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, New York, 1999, doi:10.1007/978-3-7908-1870-3-1
- [4] P. Burillo and H. Bustince, Intuitionistic fuzzy relations (Part I) , Mathware and computing 2, (1995), 5–38.
- [5] P. Burillo and H. Bustince, Intuitionistic fuzzy relations (Part II) , Mathware and computing 2, (1995), 117–148.
- [6] H. Bustince and P. Burillo, Antisymmetrical intuitionistic fuzzy relation. Order on the referential set induced by an bi fuzzy relation , Fuzzy Sets and
Systems, Fuzzy Sets and Systems, 2 (1995), 17–22.
- [7] H. Bustince and P. Burillo, Structures on intuitionistic fuzzy relations , Fuzzy Sets and Systems, 3 (1996), 293–303, doi:10.1016/0165-0114(96)84610-0
- [8] P. Burillo, Construction of intuitionistic fuzzy relations with predetermined properties, Fuzzy Sets and Systems, Fuzzy Sets and Systems 3 (2000),
379–403, doi:10.1016/S0165-0114(97)00381-3
- [9] H. Gurc¸ay, D. C¸ oker and A.H. Es¸, On fuzzy continuity in intuitionistic fuzzy topological spaces, Journal of Fuzzy Mathematics, 2 (2003), 365–378.
- [10] I. Farhan and O.M. Mourad, A new structure and constructions of L-fuzzy maps, International Journal of Computational and Applied Mathematics 1
(2013), 1–10.
- [11] O. Galor, Discrete dynamical systems, Springer, 2007, doi:10.1007/3-540-36776-4
- [12] G. Gomathi and D. Jayanthi, Intuitionistic fuzzy b] continuous mapping, Advances in Fuzzy Mathematics 1 (2018), 39–47.
- [13] S. Heilpern, Fuzzy mappings and fixed point theorem, Journal of Mathematical Analysis and Applications, Journal of Mathematical Analysis and
Applications, 83 (1981), 566–569, doi:10.1016/0022-247X(81)90141-4
- [14] G.E. Hughes and M.J. Cresswell, A New Introduction to Modal Logic, London: Routledge, (2012), doi:10.4324/9780203028100
- [15] K. Hur, S.Y. Jang and H.M. Kang, Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems, 1 (2003), 72–77,
doi:10.5391/IJFIS.2003.3.1.072
- [16] D. Jayanthi, Intuitionistic Fuzzy Generalized Beta Continuous, Indian Journal of Applied Research, Mappings, 4 (2014), 1–6.
- [17] A. Kandil, S. Saleh and M.M. Yakout, Fuzzy topology on fuzzy sets: regularity and separation axioms, American Academic and Scholarly Research
Journal, 2 (2012).
- [18] H.W. Kang, J-G. Lee and K. Hur, Intuitionistic fuzzy mappings and intuitionistic fuzzy equivalence relations, Annals of Fuzzy Mathematics and
Informatics, 1 (2012), 61–87.
- [19] K. Lim, G.H. Choi and H. Hur, Fuzzy mappings and fuzzy equivalence relations, International Journal of Fuzzy Logic and Intelligent Systems, 3 (2011),
750–749, doi:10.5391/IJFIS.2011.11.3.153
- [20] A. Manimaran, K. A. Prakash, P. Thangaraj, Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological
spaces, International journal of Advanced Scientific and Technical Research, 2 (2011), 505–509.
- [21] S.K. Sardar, M. Mandal and S.K. Majumder, Intuitionistic fuzzy ideal extensions in semigroups , J. Pure Appl. Math, 1 (2015), 59–67.
Construction of Intuitionistic Fuzzy Mappings with Applications
Yıl 2020,
Cilt: 3 Sayı: 4, 144 - 155, 23.12.2020
Soheyb Milles
,
Ergün Nart
,
Farhan Ismail
Abdelkrim Latreche
Öz
In a recent paper, Ismail and Massa'deh have introduced the notion of L-fuzzy mapping and some basic operations were proved. In this paper, we generalize this notion to the setting of intuitionistic fuzzy sets. Moreover, we study the main properties related to intuitionistic fuzzy mapping. As applications, we provide properties of intuitionistic fuzzy continuous mappings in intuitionistic fuzzy topological spaces and investigate the relation among various kinds of intuitionistic fuzzy continuity.
Kaynakça
- [1] K. Atanassov, Intuitionistic fuzzy sets, VII ITKRs Scientific Session, Sofia, 1983.
- [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96, doi:10.1016/S0165-0114(86)80034-3
- [3] K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, New York, 1999, doi:10.1007/978-3-7908-1870-3-1
- [4] P. Burillo and H. Bustince, Intuitionistic fuzzy relations (Part I) , Mathware and computing 2, (1995), 5–38.
- [5] P. Burillo and H. Bustince, Intuitionistic fuzzy relations (Part II) , Mathware and computing 2, (1995), 117–148.
- [6] H. Bustince and P. Burillo, Antisymmetrical intuitionistic fuzzy relation. Order on the referential set induced by an bi fuzzy relation , Fuzzy Sets and
Systems, Fuzzy Sets and Systems, 2 (1995), 17–22.
- [7] H. Bustince and P. Burillo, Structures on intuitionistic fuzzy relations , Fuzzy Sets and Systems, 3 (1996), 293–303, doi:10.1016/0165-0114(96)84610-0
- [8] P. Burillo, Construction of intuitionistic fuzzy relations with predetermined properties, Fuzzy Sets and Systems, Fuzzy Sets and Systems 3 (2000),
379–403, doi:10.1016/S0165-0114(97)00381-3
- [9] H. Gurc¸ay, D. C¸ oker and A.H. Es¸, On fuzzy continuity in intuitionistic fuzzy topological spaces, Journal of Fuzzy Mathematics, 2 (2003), 365–378.
- [10] I. Farhan and O.M. Mourad, A new structure and constructions of L-fuzzy maps, International Journal of Computational and Applied Mathematics 1
(2013), 1–10.
- [11] O. Galor, Discrete dynamical systems, Springer, 2007, doi:10.1007/3-540-36776-4
- [12] G. Gomathi and D. Jayanthi, Intuitionistic fuzzy b] continuous mapping, Advances in Fuzzy Mathematics 1 (2018), 39–47.
- [13] S. Heilpern, Fuzzy mappings and fixed point theorem, Journal of Mathematical Analysis and Applications, Journal of Mathematical Analysis and
Applications, 83 (1981), 566–569, doi:10.1016/0022-247X(81)90141-4
- [14] G.E. Hughes and M.J. Cresswell, A New Introduction to Modal Logic, London: Routledge, (2012), doi:10.4324/9780203028100
- [15] K. Hur, S.Y. Jang and H.M. Kang, Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems, 1 (2003), 72–77,
doi:10.5391/IJFIS.2003.3.1.072
- [16] D. Jayanthi, Intuitionistic Fuzzy Generalized Beta Continuous, Indian Journal of Applied Research, Mappings, 4 (2014), 1–6.
- [17] A. Kandil, S. Saleh and M.M. Yakout, Fuzzy topology on fuzzy sets: regularity and separation axioms, American Academic and Scholarly Research
Journal, 2 (2012).
- [18] H.W. Kang, J-G. Lee and K. Hur, Intuitionistic fuzzy mappings and intuitionistic fuzzy equivalence relations, Annals of Fuzzy Mathematics and
Informatics, 1 (2012), 61–87.
- [19] K. Lim, G.H. Choi and H. Hur, Fuzzy mappings and fuzzy equivalence relations, International Journal of Fuzzy Logic and Intelligent Systems, 3 (2011),
750–749, doi:10.5391/IJFIS.2011.11.3.153
- [20] A. Manimaran, K. A. Prakash, P. Thangaraj, Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological
spaces, International journal of Advanced Scientific and Technical Research, 2 (2011), 505–509.
- [21] S.K. Sardar, M. Mandal and S.K. Majumder, Intuitionistic fuzzy ideal extensions in semigroups , J. Pure Appl. Math, 1 (2015), 59–67.