• 제목/요약/키워드: Intuitionistic logic

검색결과 59건 처리시간 0.02초

Lotfi A. Zadeh

  • 이승온;김진태
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
    • /
    • pp.311-312
    • /
    • 2008
  • 퍼지 논리는 1965년 Zadeh[13]에 의하여 소개된 이후 꾸준히 확장, 발전하였다. 퍼지 논리와 관련된 수학사 및 수학교육 논문[1, 2, 3, 4, 5, 7]들이 많이 발표 되었지만 정작 퍼지 논리의 창시자인 Zadeh에 대한 연구 논문은 아직까지 나오지 않았다. 본 논문에서는 Zadeh의 생애와 업적을 알아보고 이를 통해 우리가 배워야 할 점들에 대해 논의한다. 또한 이가 논리, 다가 논리, 퍼지 논리, 직관주의 논리 및 직관적 퍼지 집합을 비교, 분석해보고 직관적 퍼지 집합에서 '직관적(intuitionistic)'이라는 용어의 부적절성에 대해 논의한다.

  • PDF

퍼지 논리의 시조 Zadeh (Lotfi A. Zadeh, the founder of fuzzy logic)

  • 이승온;김진태
    • 한국수학사학회지
    • /
    • 제21권1호
    • /
    • pp.29-44
    • /
    • 2008
  • 퍼지 논리는 1965년 Zadeh([13])에 의하여 소개된 이후 꾸준히 확장, 발전하였다. 퍼지 논리와 관련된 수학사 및 수학교육 논문([1], [2], [3], [4], [5], [7])들이 많이 발표되었지만 정작 퍼지 논리의 창시자인 Zadeh에 대한 연구 논문은 아직 발표되지 않았다. 본 논문에서는 Zadeh의 생애와 업적을 알아보고 이를 통해 우리가 배워야 할 점들에 대해 논의한다. 또한 이가 논리, 다가 논리, 퍼지 논리, 직관주의 논리 및 직관적 퍼지 집합을 비교, 분석하고 직관적 퍼지 집합에서 '직관적(intuitionistic)' 이라는 용어의 부적절성에 대해 논의한다.

  • PDF

INTUITIONISTIC FUZZY FUNCTIONS

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제3권2호
    • /
    • pp.200-205
    • /
    • 2003
  • In this paper, we generally introduce some of the terminology of Yalvac [10] and Azad [4] in intuitionistic fuzzy topological spaces. In addition to the fundamental concepts of intuitionistic fuzzy sets, we emphasize the usefulness of the concepts of intuitionistic fuzzy points intuitionistic fuzzy elementhood. Mainly, this paper is devoted to the study of intuitionistic fuzzy topological spaces with specific attention to the weaker forms of fuzzy continuity.

Intuitionistic Fuzzy Topology and Intuitionistic Fuzzy Preorder

  • Yun, Sang Min;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제15권1호
    • /
    • pp.79-86
    • /
    • 2015
  • This paper is devoted to finding relationship between intuitionistic fuzzy preorders and intuitionistic fuzzy topologies. For any intuitionistic fuzzy preordered space, an intuitionistic fuzzy topology will be constructed. Conversely, for any intuitionistic fuzzy topological space, we obtain an intuitionistic fuzzy preorder on the set. Moreover, we will show that the family of all intuitionistic fuzzy preorders on an underlying set has a very close link to the family of all intuitionistic fuzzy topologies on the set satisfying some extra condition.

INTUITIONISTIC FUZZY WEAK CONGRUENCES ON A SEMIRING

  • Hur, Kul;Jang, Su-Youn;Lee, Keon-Chang
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제6권4호
    • /
    • pp.321-330
    • /
    • 2006
  • We introduce the concept of intuitionistic fuzzy weak congruence on a semiring and obtain the relation between intuitionistic fuzzy weak congruence and intuitionistic fuzzy ideal of a semiring. Also we define and investigate intuitionistic fuzzy quotient semiring of a semiring over an intuitionistic fuzzy ideal or over an intuitionistic fuzzy weak congruence.

Intuitionistic Smooth Bitopological Spaces and Continuity

  • Kim, Jin Tae;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제14권1호
    • /
    • pp.49-56
    • /
    • 2014
  • In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.

On Idempotent Intuitionistic Fuzzy Matrices of T-Type

  • Padder, Riyaz Ahmad;Murugadas, P.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제16권3호
    • /
    • pp.181-187
    • /
    • 2016
  • In this paper, we examine idempotent intuitionistic fuzzy matrices and idempotent intuitionistic fuzzy matrices of T-type. We develop some properties on both idempotent intuitionistic fuzzy matrices and idempotent intuitionistic fuzzy matrices of T-type. Several theorems are provided and an numerical example is given to illustrate the theorems.

Multi-Intuitionistic Fuzzy Sets and Intuitionistic Fuzzy P Systems

  • Abd-Allah, M. Azab;Ghareeb, A.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제8권4호
    • /
    • pp.284-287
    • /
    • 2008
  • In this paper, we introduce multi-intuitionistic fuzzy sets and intuitionistic fuzzy hybrid sets. The basic operations between such structures are defined. The use of these structures in the definition of intuition is tic fuzzy variants of P systems and their properties are presented.

Intuitionistic Fuzzy δ-continuous Functions

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제13권4호
    • /
    • pp.336-344
    • /
    • 2013
  • In this paper, we characterize the intuitionistic fuzzy ${\delta}$-continuous, intuitionistic fuzzy weakly ${\delta}$-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly ${\theta}$-continuous functions in terms of intuitionistic fuzzy ${\delta}$-closure and interior or ${\theta}$-closure and interior.