• Title/Summary/Keyword: fuzzy relations

Search Result 270, Processing Time 0.021 seconds

INTUITIONISTIC FUZZY FINITE STATE MACHINES

  • JUN YOUNG BAE
    • Journal of applied mathematics & informatics
    • /
    • v.17 no.1_2_3
    • /
    • pp.109-120
    • /
    • 2005
  • Using the notion of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy finite state machines (iffsm), intuitionistic successor s, intuitionistic subsystems, intuitionistic submachines, intuitionistic q-twins, and intuitionistic retrievable iffsm are introduce d, and related properties are studied. Relations between intuitionistic q-twins and intuitionistic q-related iffsm are given. A characterization of an intuitionistic retrievable iffsm is provided.

FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS

  • Liu, Yong-Lin;Liu, San-Yang;Meng, Jie
    • Bulletin of the Korean Mathematical Society
    • /
    • v.41 no.1
    • /
    • pp.167-179
    • /
    • 2004
  • The notions of FSI-ideals and FSC-ideals in BCI-algebras are introduced. The characterization properties of FSI-ideals and FSC-ideals are obtained. We investigate the relations between FSI-ideals (resp. FSC-ideals) and other fuzzy ideals, between FSI-ideals (resp. FSC-ideals) and BCI-algebras, and show that a fuzzy subset of a BCI-algebra is an FSI-ideal if and only if it is both an FSC-ideal and a fuzzy BCI-positive implicative ideal.

Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
    • /
    • v.54 no.1
    • /
    • pp.11-22
    • /
    • 2014
  • The sequence spaces $c^F$(M), $c^F_0$(M) and ${\ell}^F$(M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

Weighted value method for multicriteria decision-making using fuzzy dependence relations (퍼지종속관계를 이용한 다기준평가문제의 가중치 책정방법)

  • 정택수;정규련
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 1994.04a
    • /
    • pp.742-748
    • /
    • 1994
  • Scientific involvement in complex decision-making systems, characterized by multicriteria phenomena and fuzziness inherent in the structure of information, requires suitable methods. Especially, when powerful dependent criteria are introduced, the systems are become more complex. This paper presents a fuzzy dependence relation model for this kind of multicriteria decision-making. The model we propose is based on fuzzy relation in fuzzy system theory. For the application of the model a numerical example is quoted.

Interval-Valued H-Fuzzy Sets

  • Lee, Keon-Chang;Lee, Jeong-Gon;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.10 no.2
    • /
    • pp.134-141
    • /
    • 2010
  • We introduce the category IVSet(H) of interval-valued H-fuzzy sets and show that IVSet(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study some relations among IVSet (H), ISet (H) and Set (H).

Common Fixed Point and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.14 no.1
    • /
    • pp.66-72
    • /
    • 2014
  • In this paper, we establish common fixed point theorem for type(${\beta}$) compatible four mappings with implicit relations defined on an intuitionistic fuzzy metric space. Also, we present the example of common fixed point satisfying the conditions of main theorem in an intuitionistic fuzzy metric space.

FUZZY COMPLETE LATTICES AND DISTANCE SPACES

  • Ko, Jung Mi;Kim, Yong Chan
    • The Pure and Applied Mathematics
    • /
    • v.28 no.4
    • /
    • pp.267-280
    • /
    • 2021
  • In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.

A Sutdy on Improvement of Geomeric Accuracy by using Fuzzy Algorithm in Surface Grinding (퍼지 알고리즘을 이용한 평면연삭의 형상정도 향상에 관한 연구)

  • 천우진;김남경;하만경;송지복
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1993.10a
    • /
    • pp.149-154
    • /
    • 1993
  • In heavy grinding that is on of the high efficient grinding method, meaningful deformation is generated by high temperature. So, after machining, geomeric error generated od the workpiece. The most important factor on the geometric error is temperature difference between upper layer and lower layer (T $_{d}$) . Relations between Td and grinding condition and maximum geometric error and grinding condition are obtained by experiment. This relations are used in fuzzy algorithm for improvement geometric accuracy. The main results are follows : (1) The linear relation between maximum geometric error and grinding condition is ovtained by experiment. (2) The linear relation between maximum temperature difference between upper layer and lower layer and grinding condition is ovtained by experiment. (3) Control peth of wheel for improvement geometric accuracy is obtained by using the fuzzy algorithm.m.

  • PDF

HESITANT FUZZY SEMIGROUPS WITH TWO FRONTIERS

  • Jun, Young Bae;Lee, Kyoung Ja;Park, Chul Hwan
    • Communications of the Korean Mathematical Society
    • /
    • v.31 no.1
    • /
    • pp.17-25
    • /
    • 2016
  • The notion of hesitant fuzzy semigroups with two frontiers is introduced, and related properties are investigated. Relations between a hesitant fuzzy semigroups with a frontier and a hesitant fuzzy semigroups with two frontiers are discussed. It is shown that the hesitant intersection of two hesitant fuzzy semigroups with two frontiers is a hesitant fuzzy semigroup with two frontiers. We provide an example to show that the hesitant union of two hesitant fuzzy semigroups with two frontiers may not be a hesitant fuzzy semigroup with two frontiers.