• Title/Summary/Keyword: fuzzy relations

Search Result 270, Processing Time 0.026 seconds

GENERALIZED ANTI FUZZY SUBGROUPS

  • Jun, Young-Bae;Song, Seok-Zun
    • East Asian mathematical journal
    • /
    • v.22 no.2
    • /
    • pp.195-205
    • /
    • 2006
  • Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subgroup are introduced and their inter-relations are investigated.

  • PDF

ON THE FUZZY COMPLETE NORMED LINEAR SPACE

  • Rhie, Gil Seob;Hwang, In Ah
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.2
    • /
    • pp.281-286
    • /
    • 2009
  • In this paper, we introduce the notion of the complete fuzzy norm on a linear space. And we consider some relations between the fuzzy completeness and ordinary completeness on a linear space.

  • PDF

ON THE STATISTICALLY COMPLETE FUZZY NORMED LINEAR SPACE.

  • Rhie, Gil Seob;Hwang, In Ah;Kim, Jeong Hee
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.3
    • /
    • pp.597-606
    • /
    • 2009
  • In this paper, we introduce the notion of the statistically complete fuzzy norm on a linear space. And we consider some relations between the fuzzy statistical completeness and ordinary completeness on a linear space.

  • PDF

Voting Analysis in Political Science

  • Kim, Chang-Bum
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.19 no.4
    • /
    • pp.592-594
    • /
    • 2009
  • In this paper we consider voting analysis in the political science in connection with $B_n$(or $M_n${0, 1}), the semigroup of the binary relations on X with n elements. We also consider it in connection with $M_n$(F) (or $B_n$(F)), the semigroup of all fuzzy binary relations on X. Also we establish a possibility theorem and an impossibility theorem in voting analysis based on preferences in $B_n$ and $M_n$(F).

The Properties of L-lower Approximation Operators

  • Kim, Yong Chan
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.14 no.1
    • /
    • pp.57-65
    • /
    • 2014
  • In this paper, we investigate the properties of L-lower approximation operators as a generalization of fuzzy rough set in complete residuated lattices. We study relations lower (upper, join meet, meet join) approximation operators and Alexandrov L-topologies. Moreover, we give their examples as approximation operators induced by various L-fuzzy relations.

Feature extraction with distance measures and fuzzy entropy

  • Lee, Sang-Hyuk;Kim, Sung-Shin;Hyeon Bae;Kim, Youn-Tae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2003.09a
    • /
    • pp.543-546
    • /
    • 2003
  • Representation and quantification of fuzziness are required for the uncertain system modelling and controller design. Conventional results show that entropy of fuzzy sets represent the fuzziness of fuzzy sets. In this literature, the relations of fuzzy enropy, distance measure and similarity measure are discussed, and distance measure is proposed. With the help of relations of fuzzy entropy, distance measure and similarity measure, fuzzy entropy is proposed by the distance measure. Finally, proposed entropy is applied to measure the fault signal of induction machine.

  • PDF