CALL FOR PAPERS

CERTIFICATE

IMPACT FACTOR 2018

Subject Area

  • Life Sciences / Biology
  • Architecture / Building Management
  • Asian Studies
  • Business & Management
  • Chemistry
  • Computer Science
  • Economics & Finance
  • Engineering / Acoustics
  • Environmental Science
  • Agricultural Sciences
  • Pharmaceutical Sciences
  • General Sciences
  • Materials Science
  • Mathematics
  • Medicine
  • Nanotechnology & Nanoscience
  • Nonlinear Science
  • Chaos & Dynamical Systems
  • Physics
  • Social Sciences & Humanities

Why Us? >>

  • Open Access
  • Peer Reviewed
  • Rapid Publication
  • Life time hosting
  • Free promotion service
  • Free indexing service
  • More citations
  • Search engine friendly

Plagiarism Detection

IJCR is following an instant policy on rejection those received papers with plagiarism rate of more than 20%. So, All of authors and contributors must check their papers before submission to making assurance of following our anti-plagiarism policies.

On green's fuzzy orthodox semigroups

Author: 
Dr. G. Hariprakash
Subject Area: 
Physical Sciences and Engineering
Abstract: 

In the field of research, especially in the logical algebra study of classes of regular semigroup are at most importance. Orthodox semigroups constitutes an important class of regular semigroups. An extension of these concepts was introduced by S. Madhavan on 1978 in his research article "Some results on generalized inverse semigroups” (Madhavan, 1978). A band is a semigroup in which every element is an idempotent. Inverse semigroups constitute the most important and promising classes of semigroups. Such a semigroup is certainly regular. But every regular semigroup need not be an inverse semigroup. If in a regular semigroup, any two idempotents commute, then it is an inverse semigroup. A regular semigroup in which idempotents form a semigroup is called an orthodox semigroup. In this study many results of pre algebra have extended the boarder framework of fuzzy setting. Following the formulation of Green's Fuzzy relations in the work "A study of fuzzy congruence on Green's fuzzy relations" (Hariprakash, 2016) here in this paper, the concept and results of orthodox semigroups are characterized using fuzzy properties. A general theory of logical algebra of fuzzy sets was introduced by Zadeh (Zadeh, 1965). In the paper 'A fuzzy approach to complete Upper Semilattice and complete lower semilattice" discussed the concept of fuzzy congruences relation on a semigroup (Hariprakash, 2016). During the course of this work the study concentrated in special classes of Green’s fuzzy relations. It endeavours to find out a classes (quotient classes) of Green’s Fuzzy Relations as a Fuzzy Orthodox Semigroup and called Green’s Fuzzy Orthodox semigroup. Finally four lammas in Green’s Fuzzy Orthodox semigroup are established.With the help of these lammas the study concludes by finding out a theorem stating a necessary and sufficient condition for quotient classes of regular semigroup to be a Green’s Fuzzy Orthodox semigroup. In particular this work establishes Fuzzy Green's Fuzzy classes is an orthodox semigroup when the semigroup is a fuzzy congruence Green's Fuzzy antisimple orthodox semigroup.

PDF file: 

IJMCE RECOMMENDATION

ONLINE PAYPAL PAYMENT

CURRENT ISSUE

NEWS

CHIEF EDITOR

Rosane Cavalcante Fragoso, Brasil

ASSOCIATE CHIEF EDITOR

   

Jean-Marc SABATIER
Chief Scientific Officer and Head of a Research Group
France

Advantages of IJCR

  • Rapid Publishing
  • Professional publishing practices
  • Indexing in leading database
  • High level of citation
  • High Qualitiy reader base
  • High level author suport

EDITORIAL BOARD

Luai Farhan Zghair
Iraq
Hasan Ali Abed Al-Zu’bi
Jordanian
Fredrick OJIJA
Tanzanian
Firuza M. Tursunkhodjaeva
Uzbekistan
Faraz Ahmed Farooqi
Saudi Arabia
Eric Randy Reyes Politud
Philippines
Elsadig Gasoom FadelAlla Elbashir
Sudan
Eapen, Asha Sarah
United State
Dr.Arun Kumar A
India
Dr. Zafar Iqbal
Pakistan
Dr. SHAHERA S.PATEL
India
Dr. Ruchika Khanna
India
Dr. Recep TAS
Turkey
Dr. Rasha Ali Eldeeb
Egypt
Dr. Pralhad Kanhaiyalal Rahangdale
India
DR. PATRICK D. CERNA
Philippines
Dr. Nicolas Padilla- Raygoza
Mexico
Dr. Mustafa Y. G. Younis
Libiya
Dr. Muhammad shoaib Ahmedani
Saudi Arabia
DR. MUHAMMAD ISMAIL MOHMAND
United State
DR. MAHESH SHIVAJI CHAVAN
India
DR. M. ARUNA
India
Dr. Lim Gee Nee
Malaysia
Dr. Jatinder Pal Singh Chawla
India
DR. IRAM BOKHARI
Pakistan
Dr. FARHAT NAZ RAHMAN
Pakistan
Dr. Devendra kumar Gupta
India
Dr. ASHWANI KUMAR DUBEY
India
Dr. Ali Seidi
Iran
Dr. Achmad Choerudin
Indonesia
Dr Ashok Kumar Verma
India
Thi Mong Diep NGUYEN
France
Dr. Muhammad Akram
Pakistan
Dr. Imran Azad
Oman
Dr. Meenakshi Malik
India
Aseel Hadi Hamzah
Iraq
Anam Bhatti
Malaysia
Md. Amir Hossain
Bangladesh
Ahmet İPEKÇİ
Turkey
Mirzadi Gohari
Iran