| Type of Material: | Thesis |
| Title: | Studies on Fuzzy representations of fuzzy groups |
| Researcher: | Abraham, Thampy |
| Guide: | Jacob, Mercy K | Sebastian, Souriar |
| Department: | Faculty of Science |
| Publisher: | Mahatma Gandhi University, Kottayam |
| Place: | Kottayam |
| Year: | 2007/11 |
| Language: | English |
| Subject: | Solvable fuzzy group | Fuzzy group | Fuzzy homomorphism | Fuzzy representations | M-fuzzy group | M-fuzzy representations, | G-module homomorphism | G-module fuzzy representations | M projective | M injective | Computer Science and Information Technology | Mathematical Sciences | Physical and Basic Sciences |
| Dissertation/Thesis Note: | PhD; Faculty of Science, Mahatma Gandhi University, Kottayam, Kottayam; 2007/11 |
| Fulltext: | Shodhganga |
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| 008 | __ | 240912t1970||||ii#||||g|m||||||||||eng|| |
| 035 | __ | |a(IN-AhILN)th_454450 |
| 040 | __ | |aMGND_686560|dIN-AhILN |
| 041 | __ | |aeng |
| 100 | __ | |aAbraham, Thampy|eResearcher |
| 110 | __ | |aFaculty of Science|bMahatma Gandhi University, Kottayam|dKottayam|ein |
| 245 | __ | |aStudies on Fuzzy representations of fuzzy groups |
| 260 | __ | |aKottayam|bMahatma Gandhi University, Kottayam|c2007/11 |
| 300 | __ | |a131p.|c-|dNone |
| 500 | __ | |aBibliography p.121-131 |
| 502 | __ | |bPhD|cFaculty of Science, Mahatma Gandhi University, Kottayam, Kottayam|d2007/11 |
| 518 | __ | |oDate of Award|dn.d. |
| 518 | __ | |dn.d.|oDate of Registration |
| 520 | __ | |aA classical set A is defined as the collection of objects x which belongs to a universal set X. Each member of X can either belong to A or not. We can define the member elements by using the characteristic function _A defined from X to f0; 1g in which 1 represents membership and 0, non-membership. The set defined by a membership function : X ! [0; 1] is called a fuzzy set. The concept of fuzzy set was introduced by Lot A. Zadeh in 1965. Later, Rosenfeld [41] initiated the fuzzification of algebraic structures, by introducing fuzzy groups and discussing some of their properties. The focus of this study is on fuzzy representations. This thesis is organised into five chapters. Definitions and preliminary results from fuzzy set theory, fuzzy operations, fuzzy groups, fuzzy homomorphisms, solvable fuzzy groups which are required in the succeeding chapters are included in chapter 1. After the introduction of fuzzy group by Rosenfeld, fuzzy versions of various algebraic structures were studied by scholars like Abu |
| 650 | __ | |aComputer Science and Information Technology|2UGC |
| 650 | __ | |aMathematical Sciences|2UGC |
| 650 | __ | |aPhysical and Basic Sciences|2AIU |
| 653 | __ | |aSolvable fuzzy group |
| 653 | __ | |aFuzzy group |
| 653 | __ | |aFuzzy homomorphism |
| 653 | __ | |aFuzzy representations |
| 653 | __ | |aM-fuzzy group |
| 653 | __ | |aM-fuzzy representations, |
| 653 | __ | |aG-module homomorphism |
| 653 | __ | |aG-module fuzzy representations |
| 653 | __ | |aM projective |
| 653 | __ | |aM injective |
| 700 | __ | |aJacob, Mercy K|eGuide |
| 700 | __ | |aSebastian, Souriar|eGuide |
| 856 | __ | |uhttp://shodhganga.inflibnet.ac.in/handle/10603/7185|yShodhganga |
| 905 | __ | |afromsg |
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