Research Article
BibTex RIS Cite

STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES

Year 2019, Volume: 18 Issue: 36, 1 - 10, 31.12.2019

Abstract

The main objective of this paper is to introduce and study
the notion of ideal Lamda-statistical convergence of a nonnegative real-valued
Lebesque measurable function in the interval (1,infinity) with respect to the
intuitionistic fuzzy 2-normed (Mü, vi) , investigate their relationship, and make some observations
about these classes. Further, we prove some inclusion theorems.

References

  • K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986) 87-96.
  • K. Atanassov, G. Pasi, R. Yager, Intuitionistic fuzzy interpretations of multi-person multicriteria decision making, in: Proceedings of 2002 First International IEEE Symposium Intelligent Systems, 1(200) ,115-119.
  • R. Colak, C. A. Bektas, -statistical convergence of order , Acta Math. Scientia, 31B (3) (2011), 953-959.
  • J. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis, 8(1988), 47-63.
  • H. Fast, Sur la convergence statistique, Colloq. Math. 2, 1951, 241-244
  • J.A. Fridy, On statistical convergence, Analysis 5 (1985) 301-313
  • P. Kostyrko, T. Šalát, W. Wilczynki, -convergence, Real Anal. Exchange 26 (2) (2000-2001) 669-685
  • M. Mursaleen, -statistical convergence, Math. Slovaca 50 (2000) 111-115
  • M. Mursaleen and Q. M. Danish Lohani, Intuitionistic fuzzy 2-normed space and some relates concepts Chaos, Solitons and Fractals, 42,(2009), 224-234
  • J.H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals 22(2004) 1039-1046
  • R. Saadati and J.H. Park, On the intuitioistic fuzzy topologicial spaces, Chaos Solitons Fractals, 27(2006) 331-344
  • T. Šalát, On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980) 139-150
  • Savaş, E. -strongly summable sequences spaces in 2-normed Spaces defined by Ideal Convergence and an Orlicz Function, App. Math.Comp., V.217, N. 1, 2010, 271-276
  • E. Savaş, P. Das, A generalized statistical convergence via ideals, Appl. Math. Lett. 24(2011) 826-830
  • E. Savaş, Generalized statistical convergence in intuitionistic fuzzy 2-normed space. Appl. Math. Inf. Sci., 9(1L), (2015), 59-63
  • E. Savaş, A generalized statistical convergent functions via ideals in intuitionistic fuzzy normed spaces, Appl. Comp. Math.16(1), (2017)

STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES

Year 2019, Volume: 18 Issue: 36, 1 - 10, 31.12.2019

Abstract

Bu makalenin başlıca amacı, negatif olmayan reel değerli Lebesque ölçüm fonksiyonlarının (1,infinity) aralığında , sezgisel bulanık 2-normu (mü,vi) üzerinde lamda- istatistiksel yakınsaklığını tanıtmak ve çalışmak, aralarındaki ilişkileri ortaya çıkarmak, bu sınıf ile ilgili bazı gözlemler yapmak, bu makalenin başlıca amacıdır. Ve bu konudaki bazı teoremleri ispatlayacağız.

References

  • K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986) 87-96.
  • K. Atanassov, G. Pasi, R. Yager, Intuitionistic fuzzy interpretations of multi-person multicriteria decision making, in: Proceedings of 2002 First International IEEE Symposium Intelligent Systems, 1(200) ,115-119.
  • R. Colak, C. A. Bektas, -statistical convergence of order , Acta Math. Scientia, 31B (3) (2011), 953-959.
  • J. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis, 8(1988), 47-63.
  • H. Fast, Sur la convergence statistique, Colloq. Math. 2, 1951, 241-244
  • J.A. Fridy, On statistical convergence, Analysis 5 (1985) 301-313
  • P. Kostyrko, T. Šalát, W. Wilczynki, -convergence, Real Anal. Exchange 26 (2) (2000-2001) 669-685
  • M. Mursaleen, -statistical convergence, Math. Slovaca 50 (2000) 111-115
  • M. Mursaleen and Q. M. Danish Lohani, Intuitionistic fuzzy 2-normed space and some relates concepts Chaos, Solitons and Fractals, 42,(2009), 224-234
  • J.H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals 22(2004) 1039-1046
  • R. Saadati and J.H. Park, On the intuitioistic fuzzy topologicial spaces, Chaos Solitons Fractals, 27(2006) 331-344
  • T. Šalát, On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980) 139-150
  • Savaş, E. -strongly summable sequences spaces in 2-normed Spaces defined by Ideal Convergence and an Orlicz Function, App. Math.Comp., V.217, N. 1, 2010, 271-276
  • E. Savaş, P. Das, A generalized statistical convergence via ideals, Appl. Math. Lett. 24(2011) 826-830
  • E. Savaş, Generalized statistical convergence in intuitionistic fuzzy 2-normed space. Appl. Math. Inf. Sci., 9(1L), (2015), 59-63
  • E. Savaş, A generalized statistical convergent functions via ideals in intuitionistic fuzzy normed spaces, Appl. Comp. Math.16(1), (2017)
There are 16 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Rahmet Savaş 0000-0002-3670-622X

Publication Date December 31, 2019
Submission Date July 1, 2019
Published in Issue Year 2019 Volume: 18 Issue: 36

Cite

APA Savaş, R. (2019). STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES. İstanbul Commerce University Journal of Science, 18(36), 1-10.
AMA Savaş R. STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES. İstanbul Commerce University Journal of Science. December 2019;18(36):1-10.
Chicago Savaş, Rahmet. “STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES”. İstanbul Commerce University Journal of Science 18, no. 36 (December 2019): 1-10.
EndNote Savaş R (December 1, 2019) STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES. İstanbul Commerce University Journal of Science 18 36 1–10.
IEEE R. Savaş, “STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES”, İstanbul Commerce University Journal of Science, vol. 18, no. 36, pp. 1–10, 2019.
ISNAD Savaş, Rahmet. “STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES”. İstanbul Commerce University Journal of Science 18/36 (December 2019), 1-10.
JAMA Savaş R. STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES. İstanbul Commerce University Journal of Science. 2019;18:1–10.
MLA Savaş, Rahmet. “STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES”. İstanbul Commerce University Journal of Science, vol. 18, no. 36, 2019, pp. 1-10.
Vancouver Savaş R. STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY 2-NORMED SPACES. İstanbul Commerce University Journal of Science. 2019;18(36):1-10.