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Proper Fuzzification of Prime Ideals of a Hemiring
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Information Technology and Computer Science
Abstract EN
Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition.
It is shown that this way better fuzzification is achieved.
Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a prime fuzzy ideal (resp., k-ideal, h-ideal).
Prime radicals and nil radicals of a fuzzy ideal are defined; their relationship is established.
The nil radical of a fuzzy k-ideal (resp., an h-ideal) is proved to be a fuzzy k-ideal (resp., h-ideal).
The correspondence theorems for different types of fuzzy ideals of hemirings are established.
The concept of primary fuzzy ideal is introduced.
Minimum imperative for proper fuzzification is suggested and it is shown that the fuzzifications introduced in this paper are proper fuzzifications.
American Psychological Association (APA)
Kumbhojkar, H. V.. 2012. Proper Fuzzification of Prime Ideals of a Hemiring. Advances in Fuzzy Systems،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-499145
Modern Language Association (MLA)
Kumbhojkar, H. V.. Proper Fuzzification of Prime Ideals of a Hemiring. Advances in Fuzzy Systems No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-499145
American Medical Association (AMA)
Kumbhojkar, H. V.. Proper Fuzzification of Prime Ideals of a Hemiring. Advances in Fuzzy Systems. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-499145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499145