The Rough Intuitionistic Fuzzy Ideals of Intuitionistic Fuzzy Subrings in a Commutative Ring

Autor: A. S. Ranadive, Prasenjit Mandal
Rok vydání: 2014
Předmět:
Pure mathematics
Fuzzy classification
Logic
Mathematics::General Mathematics
Intuitionistic fuzzy
02 engineering and technology
Commutative ring
Management Science and Operations Research
Upper and lower approximations
Intuitionistic fuzzy set
Industrial and Manufacturing Engineering
Prime (order theory)
Theoretical Computer Science
Artificial Intelligence
Computer Science::Logic in Computer Science
0202 electrical engineering
electronic engineering
information engineering
Mathematics
Discrete mathematics
Ideal (set theory)
Mathematics::Commutative Algebra
lcsh:Mathematics
Applied Mathematics
05 social sciences
Semiprime
Rough (prime
primary and semiprime) intuitionistic fuzzy ideal
050301 education
lcsh:QA1-939
Subring
Mathematics::Logic
lcsh:TA1-2040
Control and Systems Engineering
020201 artificial intelligence & image processing
Homomorphism
Rough intuitionistic fuzzy subring
lcsh:Engineering (General). Civil engineering (General)
0503 education
Information Systems
Rough intuitionistic fuzzy radical
Zdroj: Fuzzy Information and Engineering, Vol 6, Iss 3, Pp 279-297 (2014)
ISSN: 1616-8658
DOI: 10.1016/j.fiae.2014.12.002
Popis: The aim of this paper is to give some definitions of rough intuitionistic fuzzy ideal, rough intuitionistic fuzzy radical, rough prime (primary) intuitionistic fuzzy ideal and rough semiprime intuitionistic fuzzy ideal of an intuitionistic fuzzy subring, and also to give some properties of such ideals. Moreover, we give their nature under homomorphism.
Databáze: OpenAIRE
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