• Title/Summary/Keyword: Fuzzy Convergence

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LACUNARY STATISTICAL CONVERGENCE FOR SEQUENCE OF SETS IN INTUITIONISTIC FUZZY METRIC SPACE

  • KISI, OMER
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.69-83
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    • 2022
  • We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.

ON STATISTICAL AND p-CESARO CONVERGENCE OF FUZZY NUMBERS

  • Kwon, Joong-Sung
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.195-203
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    • 2000
  • In this paper, the concept of strongly p-Cesaro summability of sequences of fuzzy numbers is introduced. The relationship between statistical convergence and strongly p-Cesaro summability is discussed.

L-filters and L-filter convergence

  • Ko, Jung-Mi;Kim, Yong-Chan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.1
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    • pp.59-64
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    • 2009
  • In this paper, we study the relations between L-fuzzy topologies and L-filters on a strictly two-sided, commutative quantale lattice L. We define an L-fuzzy neighborhood filter and introduce the notion of L-filter convergence in L-fuzzy topological spaces.

CONVERGENCE OF CHOQUET INTEGRAL

  • HONG DUG HUN;KIM KYUNG TAE
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.613-619
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    • 2005
  • In this paper, we consider various types of convergence theorems of Choquet integral. We also show that the autocontinuity of finite fuzzy measure is equivalent to a convergence theorem with respect to convergence in measure.

ON CONVERGENCE THEOREMS OF THE AP-HENSTOCK-STIELTJES INTEGRAL FOR FUZZY NUMBER-VALUED FUNCTIONS

  • Yoon, Ju Han
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.3
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    • pp.333-341
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    • 2018
  • In this paper we introduce the concept of equi-integrability of sequence of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions. Under this concept, we prove two convergence theorems for sequences of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions.

A convergence of fuzzy random variables

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.1
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    • pp.75-82
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    • 2003
  • In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al. (2001) and generalize the recent result of Kim(2000).

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STRONG CONVERGENCE FOR WEIGHTED SUMS OF FUZZY RANDOM VARIABLES

  • Kim, Yun-Kyong
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.183-188
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    • 2003
  • In this paper, we establish some results on strong convergence for weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in R$^{p}$.

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NOTES ON CONVERGENCE OF GEOMETRIC MEAN FOR FUZZY NUMBERS

  • Hong, Dug-Hun
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.49-57
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    • 2003
  • In this paper, we give some sufficient conditions for convergence of geometric mean for T-related fuzzy numbers where T is an Archimedean t-norm under some mild restrictions. These results generalize earlier results of Hong and Lee [Fuzzy Sets and Systems 116 (2000) 263-267].