New notions from (α, β) -generalised fuzzy preopen sets

Fatimah M. Mohammed, Mohd. Salmi Md. Noorani, A. Ghareeb

Research output: Contribution to journal › Article

Abstract

The present article discuss (α, β) -generalised fuzzy pre-border (α, β) - generalised fuzzy pre-exterior and (α, β) -generalised fuzzy pre-frontier in double fuzzy topologies. Furthermore, some characterisations of generalised double fuzzy pre-continuous, generalised double fuzzy preopen, generalised double fuzzy preclosed and generalised double fuzzy preclosure-irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.

Original languageEnglish
Pages (from-to)311-331
Number of pages21
JournalGazi University Journal of Science
Volume30
Issue number1
Publication statusPublished - 2017

Fingerprint

Fuzzy sets
Topology

Keywords

  • (α β) -generalised fuzzy pre-border
  • (α β) -generalised fuzzy pre-exterior
  • (α β) -generalised fuzzy pre-frontier
  • Functions
  • Generalised double fuzzy pre-continuous
  • Generalised double fuzzy preclosed
  • Generalised double fuzzy preclosureirresolute
  • Generalised double fuzzy preopen

ASJC Scopus subject areas

  • Engineering(all)
  • General

Cite this

New notions from (α, β) -generalised fuzzy preopen sets. / Mohammed, Fatimah M.; Md. Noorani, Mohd. Salmi; Ghareeb, A.

In: Gazi University Journal of Science, Vol. 30, No. 1, 2017, p. 311-331.

Research output: Contribution to journal › Article

Mohammed, FM, Md. Noorani, MS & Ghareeb, A 2017, 'New notions from (α, β) -generalised fuzzy preopen sets', Gazi University Journal of Science, vol. 30, no. 1, pp. 311-331.
Mohammed FM, Md. Noorani MS, Ghareeb A. New notions from (α, β) -generalised fuzzy preopen sets. Gazi University Journal of Science. 2017;30(1):311-331.
Mohammed, Fatimah M. ; Md. Noorani, Mohd. Salmi ; Ghareeb, A. / New notions from (α, β) -generalised fuzzy preopen sets. In: Gazi University Journal of Science. 2017 ; Vol. 30, No. 1. pp. 311-331.
@article{bf125225025545f2865501ada7548a13,
title = "New notions from (α, β) -generalised fuzzy preopen sets",
abstract = "The present article discuss (α, β) -generalised fuzzy pre-border (α, β) - generalised fuzzy pre-exterior and (α, β) -generalised fuzzy pre-frontier in double fuzzy topologies. Furthermore, some characterisations of generalised double fuzzy pre-continuous, generalised double fuzzy preopen, generalised double fuzzy preclosed and generalised double fuzzy preclosure-irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.",
keywords = "(α β) -generalised fuzzy pre-border, (α β) -generalised fuzzy pre-exterior, (α β) -generalised fuzzy pre-frontier, Functions, Generalised double fuzzy pre-continuous, Generalised double fuzzy preclosed, Generalised double fuzzy preclosureirresolute, Generalised double fuzzy preopen",
author = "Mohammed, {Fatimah M.} and {Md. Noorani}, {Mohd. Salmi} and A. Ghareeb",
year = "2017",
language = "English",
volume = "30",
pages = "311--331",
journal = "Gazi University Journal of Science",
issn = "1303-9709",
publisher = "Gazi University Eti Mahallesi",
number = "1",

}

TY - JOUR

T1 - New notions from (α, β) -generalised fuzzy preopen sets

AU - Mohammed, Fatimah M.

AU - Md. Noorani, Mohd. Salmi

AU - Ghareeb, A.

PY - 2017

Y1 - 2017

N2 - The present article discuss (α, β) -generalised fuzzy pre-border (α, β) - generalised fuzzy pre-exterior and (α, β) -generalised fuzzy pre-frontier in double fuzzy topologies. Furthermore, some characterisations of generalised double fuzzy pre-continuous, generalised double fuzzy preopen, generalised double fuzzy preclosed and generalised double fuzzy preclosure-irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.

AB - The present article discuss (α, β) -generalised fuzzy pre-border (α, β) - generalised fuzzy pre-exterior and (α, β) -generalised fuzzy pre-frontier in double fuzzy topologies. Furthermore, some characterisations of generalised double fuzzy pre-continuous, generalised double fuzzy preopen, generalised double fuzzy preclosed and generalised double fuzzy preclosure-irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.

KW - (α β) -generalised fuzzy pre-border

KW - (α β) -generalised fuzzy pre-exterior

KW - (α β) -generalised fuzzy pre-frontier

KW - Functions

KW - Generalised double fuzzy pre-continuous

KW - Generalised double fuzzy preclosed

KW - Generalised double fuzzy preclosureirresolute

KW - Generalised double fuzzy preopen

UR - http://www.scopus.com/inward/record.url?scp=85015331636&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015331636&partnerID=8YFLogxK

M3 - Article

VL - 30

SP - 311

EP - 331

JO - Gazi University Journal of Science

JF - Gazi University Journal of Science

SN - 1303-9709

IS - 1

ER -

Access to Document