• 제목/요약/키워드: Intuitionistic Fuzzy Set

검색결과 83건 처리시간 0.026초

An Intuitionistic Fuzzy Approach to Classify the User Based on an Assessment of the Learner's Knowledge Level in E-Learning Decision-Making

  • Goyal, Mukta;Yadav, Divakar;Tripathi, Alka
    • Journal of Information Processing Systems
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    • 제13권1호
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    • pp.57-67
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    • 2017
  • In this paper, Atanassov's intuitionistic fuzzy set theory is used to handle the uncertainty of students' knowledgeon domain concepts in an E-learning system. Their knowledge on these domain concepts has been collected from tests that were conducted during their learning phase. Atanassov's intuitionistic fuzzy user model is proposed to deal with vagueness in the user's knowledge description in domain concepts. The user model uses Atanassov's intuitionistic fuzzy sets for knowledge representation and linguistic rules for updating the user model. The scores obtained by each student were collected in this model and the decision about the students' knowledge acquisition for each concept whether completely learned, completely known, partially known or completely unknown were placed into the information table. Finally, it has been found that the proposed scheme is more appropriate than the fuzzy scheme.

INTUITIONISTIC FUZZY FINITE SWITCHBOARD STATE MACHINES

  • Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.315-325
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    • 2006
  • The notion of intuitionistic fuzzy finite switchboard state machines and (strong) homomorphisms of intuitionistic fuzzy finite state machines are introduced, and related properties are investigated. After we give a congruence relation on the set of all words of elements of X of finite length, the quotient structure is discussed. We show that the family of equivalence classes is a finite semigroup with identity.

Intuitionistic Interval-Valued Fuzzy Topological Spaces

  • Lim, Pyung-Ki;Kim, Sun-Ho;Hur, Kul
    • 한국지능시스템학회논문지
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    • 제22권1호
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    • pp.126-134
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    • 2012
  • By using the concept of intuitionistic interval-valued fuzzy sets, we introduce the notion of intuitionistic interval-valued fuzzy topology. And we study some fundamental properties of intuitionistic interval-valued fuzzy topological spaces: First, we obtain analogues[see Theorem 3.11 and 3.12] of neighborhood systems in ordinary topological spaces. Second, we obtain the result[see Theorem 4.9] corresponding to "the 14-set Theorem" in ordinary topological spaces. Finally, we give the initial structure on intuitionistic interval-valued fuzzy topologies[see Theorem 5.9].

직관적 H-퍼지 관계 (Intuitionistic H-Fuzzy Relations)

  • K. Hur;H. W. Kang;J. H. Ryou;H. K. Song
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
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    • pp.37-40
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    • 2003
  • We introduce the category IRel (H) consisting of intuitionistic fuzzy relational spaces on sets and we study structures of the category IRel (H) in the viewpoint of the topological universe introduced by L.D.Nel. Thus we show that IRel (H) satisfies all the conditions of a topological universe over Set except the terminal separator property and IRel (H) is cartesian closed over Set.

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Intuitionistic Smooth Topological Spaces

  • 임평기;김소라;허걸
    • 한국지능시스템학회논문지
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    • 제20권6호
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    • pp.875-883
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    • 2010
  • We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element [Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology $\tau$ and the intuitionistic smooth topology $\eta$ generated by level fuzzy topologies with respect to $\tau$ [Theorem 3.10].

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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    • 제22권1_2호
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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]).

직관적 퍼지 거리공간 (Intuitionistic Fuzzy Metric Spaces)

  • Park, Jin-Han;Kwun, Young-Chul;Park, Jong-Seo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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    • pp.359-362
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    • 2004
  • Using the idea of intuitionistic fuzzy set due to Atanassov, we define the notion of intuitionistic fuzzy metric spaces as a natural generalization of fuzzy metric spaces due to George and Veeramani and prove some known results of metric spaces including Baire's theorem and the Uniform limit theorem for intuitionistic fuzzy metric spaces.

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Intuitionistic Fuzzy Semigroups

  • Hur, Kul;Jang, Su-Youn;Lim, Pyung-Ki
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권3호
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    • pp.207-219
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    • 2008
  • We give some properties of intuitionistc fuzzy left, right, and two-sided ideals and bi-ideals of a semigroup. And we characterize a regular semigroup, a semigroup that is a lattice of left(right) simple semigroups, a semigroup that is a semilattice of left(right) groups and a semigroup that is a semilattice of groups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.

INTUITIONISTIC H-FUZZY SETS

  • HUR KUL;KANG HEE WON;RYOU JANG HYUN
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권1호
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    • pp.33-45
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    • 2005
  • We introduce the category ISet(H) of intuitionistic H-fuzzy sets and show that ISet(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study the relation between Set(H) and ISet(H).

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