Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/27372
Title: A study on fuzzy tm algebra
Researcher: Megalai, K
Guide(s): Tamilarasi, A
Keywords: algebra
Fuzzy set
topology
vague phenomena
Upload Date: 31-Oct-2014
University: Anna University
Completed Date: n.d.
Abstract: Fuzzy set theoriesprovide strict mathematical frameworks using newlinevague phenomena and can be precisely and rigorously studied The core newlinetheories in mathematics such as algebra topology and analysis are subject to newlinefuzzification Many researchers have dealt with subalgebras ideals newlineimplicative ideals hyper structure homomorphism and relations etc and newlinetheirfuzzification This study attempts to introduce a new class of algebra: newlineTMalgebra generalized with some results of BCH BCIBCKQalgebras newlinewith illustrationsThe concepts of psemisimple ideal closed ideal and newlinesubalgebra in TMalgebra have been introduced and it is proved that every newlineclosed ideal of a TMalgebra is a TMsubalgebra The concepts of newlinecongruence positive implicative weakly positive implicative and translations newlineare introduced for TMalgebra and their properties are duly characterized newlineResults of fuzzy subalgebras and fuzzy ideals in TMalgebras are also newlineprovidedCartesian product of two fuzzy sets is defined and its properties are newlineestablished The relation between intuitionistic fuzzy closed ideals and an newlineupper level and lower level cuts of TMalgebra have also been explored newlineandthe image and preimage of an intuitionistic fuzzy ideal of TMalgebras newlineunder homomorphism are analysed fuzzy subalgebras and ideals by newlineusing the relations belonging to and quasicoincidence with newline between fuzzy points and fuzzy sets have been introduced and some of newlinetheir properties are examined Besides fuzzy hyper TM subalgebra of type newline have also been established in the present work newline newline
Pagination: xi,141p.
URI: http://hdl.handle.net/10603/27372
Appears in Departments:Faculty of Science and Humanities

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03_abstract.pdf55.55 kBAdobe PDFView/Open
04_acknowledgement.pdf59.43 kBAdobe PDFView/Open
05_contents.pdf37.24 kBAdobe PDFView/Open
06_chapter 1.pdf48.96 kBAdobe PDFView/Open
07_chapter 2.pdf14.28 kBAdobe PDFView/Open
08_chapter 3.pdf16.04 kBAdobe PDFView/Open
09_chapter 4.pdf63.54 kBAdobe PDFView/Open
10_chapter 5.pdf65.24 kBAdobe PDFView/Open
11_chapter 6.pdf89.5 kBAdobe PDFView/Open
12_chapter 7.pdf114.05 kBAdobe PDFView/Open
13_chapter 8.pdf96.84 kBAdobe PDFView/Open
14_chapter 9.pdf21.79 kBAdobe PDFView/Open
15_references.pdf44.44 kBAdobe PDFView/Open
16_publications.pdf18.61 kBAdobe PDFView/Open
17_vitae.pdf15.92 kBAdobe PDFView/Open


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