• Title/Summary/Keyword: triangular norms

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ON A CLASS OF GENERALIZED TRIANGULAR NORMS

  • Jebril, Iqbal;Raissouli, Mustapha
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.353-359
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    • 2017
  • Starting from a t-norm T, it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.

A note on a triangular norm hierarchy

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.139-145
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    • 2002
  • In Cretu (2001), triangular norms and their hierarchy are investigated. In this paper, we give new proofs which are significantly shorter than those given in Cretu, applying a known result which involves only one argument of one-place rather than two-place argument s by Klement et al.(1997).

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A note on a triangular norm hierarchy (t-norm의 크기에 대한 고찰)

  • Hong, Dug-Hun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.328-331
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    • 2001
  • In Cretu [Fuzzy Sets and Systems 120(2001) 371-383], triangular norms and their hierarchy are investigated. In this paper, we give new proofs which are significantly shorter than those given in Cretu, applying a known result which involves only one argument of one-place rather than two place arguments by Klement et al. [FSS 86(1997) 189-195]

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ON PROPERTIES OF FUZZY HYPERIDEALS IN HYPERNEAR-RINGS WITH t-NORMS

  • ZHAN JIANMING
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.255-277
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    • 2006
  • By means of the use of a triangular norm T, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings and T-fuzzy characteristic hyper ideals are discussed.

COMPATIBLE MAPPINGS OF TYPE (I) AND (II) ON INTUITIONISTIC FUZZY METRIC SPACES IN CONSIDERATION OF COMMON FIXED POINT

  • Sharma, Sushil;Deshpande, Bhavana
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.197-214
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    • 2009
  • In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].

FUZZY IDEALS AND FUZZY SUBRINGS UNDER TRIANGULAR NORMS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • v.10 no.2
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    • pp.149-155
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    • 2002
  • We develop some basic properties of $t$-fuzzy ideals in a monoid or a group and find the sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy subring and the necessary and sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy ideal.

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