• Title/Summary/Keyword: triangular conorm

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Improved Fuzzy-associated Memory Techniques for Image Recovery

  • Zheng Zhao;Kwang Baek Kim
    • Journal of information and communication convergence engineering
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    • v.22 no.3
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    • pp.242-248
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    • 2024
  • This paper introduces an improved fuzzy association memory (IFAM), an advanced FAM method based on the T-conorm probability operator. Specifically, the T-conorm probability operator fuzzifies the input data and performs fuzzy logic operations, effectively handling ambiguity and uncertainty during image restoration, which enhances the accuracy and effectiveness of the restoration results. Experimental results validate the performance of IFAM by comparing it with existing fuzzy association memory techniques. The root mean square error shows that the restoration rate of IFAM reached 80%, compared to only 40% for the traditional fuzzy association memory technique.

ON FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACES

  • Alaca, Cihangir
    • Communications of the Korean Mathematical Society
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    • v.24 no.4
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    • pp.565-579
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    • 2009
  • In this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang's results [10]. Further, we obtain some applications to validate our main results to product spaces.

COMMON FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACES

  • Turkoglu D.;Alaca C.;Cho Y.J.;Yildiz C.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.411-424
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    • 2006
  • The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck's common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem ([21]).