Some subcategories of the category IVRelr(H)

Kul Hur; Wang Ro Lee

Some subcategories of the category IVRel_r(H)

Kul Hur^*
, Wang Ro Lee

^*Corresponding author for this work

Office of Educational Innovation

Wonkwang University

Research output: Contribution to journal › Journal article › peer-review

Abstract

We introduce the subcategory IVRel_R(H) of IVRel(H) consisting of interval-valued H-fuzzy reflexive relational space on sets and we study structures of IVRel_R(H) in a viewpoint of the topological universe introduce by Nel. We show that IVRel_R(H) is a topological universe over Set. Moreover, we show that exponential objects in IVRel_R(H) are quite different from those in IVRel(H). Also we introduce the subcategories IVRel_PR(F), IVRel_p(H) and IVRel_E(H) of IVRel_R(H) and investigate their structures in the sense of a topological universe.

Original language	English
Pages (from-to)	283-297
Number of pages	15
Journal	International Journal of Pure and Applied Mathematics
Volume	60
Issue number	3
State	Published - 2010

Keywords

(co)topological category
Cartesian closed category
Interval-valued h-fuzzy reflexive (resp. Symmetric
Preorder and equivalence) relation
Proximity
Topological universe
Transitive

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Cite this

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title = "Some subcategories of the category IVRelr(H)",

abstract = "We introduce the subcategory IVRelR(H) of IVRel(H) consisting of interval-valued H-fuzzy reflexive relational space on sets and we study structures of IVRelR(H) in a viewpoint of the topological universe introduce by Nel. We show that IVRelR(H) is a topological universe over Set. Moreover, we show that exponential objects in IVRelR(H) are quite different from those in IVRel(H). Also we introduce the subcategories IVRelPR(F), IVRelp(H) and IVRelE(H) of IVRelR(H) and investigate their structures in the sense of a topological universe.",

keywords = "(co)topological category, Cartesian closed category, Interval-valued h-fuzzy reflexive (resp. Symmetric, Preorder and equivalence) relation, Proximity, Topological universe, Transitive",

author = "Kul Hur and Lee, \{Wang Ro\}",

year = "2010",

language = "English",

volume = "60",

pages = "283--297",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

number = "3",

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TY - JOUR

T1 - Some subcategories of the category IVRelr(H)

AU - Hur, Kul

AU - Lee, Wang Ro

PY - 2010

Y1 - 2010

N2 - We introduce the subcategory IVRelR(H) of IVRel(H) consisting of interval-valued H-fuzzy reflexive relational space on sets and we study structures of IVRelR(H) in a viewpoint of the topological universe introduce by Nel. We show that IVRelR(H) is a topological universe over Set. Moreover, we show that exponential objects in IVRelR(H) are quite different from those in IVRel(H). Also we introduce the subcategories IVRelPR(F), IVRelp(H) and IVRelE(H) of IVRelR(H) and investigate their structures in the sense of a topological universe.

AB - We introduce the subcategory IVRelR(H) of IVRel(H) consisting of interval-valued H-fuzzy reflexive relational space on sets and we study structures of IVRelR(H) in a viewpoint of the topological universe introduce by Nel. We show that IVRelR(H) is a topological universe over Set. Moreover, we show that exponential objects in IVRelR(H) are quite different from those in IVRel(H). Also we introduce the subcategories IVRelPR(F), IVRelp(H) and IVRelE(H) of IVRelR(H) and investigate their structures in the sense of a topological universe.

KW - (co)topological category

KW - Cartesian closed category

KW - Interval-valued h-fuzzy reflexive (resp. Symmetric

KW - Preorder and equivalence) relation

KW - Proximity

KW - Topological universe

KW - Transitive

UR - https://www.scopus.com/pages/publications/78649761975

M3 - Journal article

AN - SCOPUS:78649761975

SN - 1311-8080

VL - 60

SP - 283

EP - 297

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 3

ER -

Some subcategories of the category IVRel_r(H)

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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