On B-Groups

Kankana Chakrabarty

On B-Groups

Kankana Chakrabarty

STEM Education

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The notion of bags play an essential role in dealing with knowledge representation problems where object classes allow repeated occurrence of elements. Sometimes bags with some special conditions can be drawn from a given set. Under these situations, is possible to define some algebraic structures on the given set. The present paper considers the situation when some bags with special conditions are drawn from a set, which, under a given operation, forms a group. Consequently, it demonstrates how an existing group structure defined on a given set can induce special structures on some bags drawn from this set. Hence, the notions of induced B-groups, induced abelian B-groups, and induced semi B-groups are introduced and discussed. Further, some characteristics of B-groups, abelian B-groups, and semi B-Groups are studied.

Original language	English
Title of host publication	Proceedings of the 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)
Editors	J Chen, X Wang, L Wang, J Sun, X Meng
Place of Publication	Los Alamitos, United States of America
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	82-86
ISBN (Print)	9781467352536, 9781467352529
Publication status	Published - 2013
Event	FSKD 2013: 10th International Conference on Fuzzy Systems and Knowledge Discovery - Shenyang, China Duration: 23 Jul 2013 → 25 Jul 2013

Conference

Conference	FSKD 2013: 10th International Conference on Fuzzy Systems and Knowledge Discovery
City	Shenyang, China
Period	23/07/13 → 25/07/13

Keywords

Computation Theory and Mathematics

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https://hdl.handle.net/1959.11/13600

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@inproceedings{e60304ae670547f08f41e3684c970623,

title = "On B-Groups",

abstract = "The notion of bags play an essential role in dealing with knowledge representation problems where object classes allow repeated occurrence of elements. Sometimes bags with some special conditions can be drawn from a given set. Under these situations, is possible to define some algebraic structures on the given set. The present paper considers the situation when some bags with special conditions are drawn from a set, which, under a given operation, forms a group. Consequently, it demonstrates how an existing group structure defined on a given set can induce special structures on some bags drawn from this set. Hence, the notions of induced B-groups, induced abelian B-groups, and induced semi B-groups are introduced and discussed. Further, some characteristics of B-groups, abelian B-groups, and semi B-Groups are studied.",

keywords = "Computation Theory and Mathematics",

author = "Kankana Chakrabarty",

year = "2013",

language = "English",

isbn = "9781467352536",

pages = "82--86",

editor = "J Chen and X Wang and L Wang and J Sun and X Meng",

booktitle = "Proceedings of the 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

note = "FSKD 2013: 10th International Conference on Fuzzy Systems and Knowledge Discovery ; Conference date: 23-07-2013 Through 25-07-2013",

}

Chakrabarty, K 2013, On B-Groups. in J Chen, X Wang, L Wang, J Sun & X Meng (eds), Proceedings of the 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). Institute of Electrical and Electronics Engineers (IEEE), Los Alamitos, United States of America, pp. 82-86, FSKD 2013: 10th International Conference on Fuzzy Systems and Knowledge Discovery, Shenyang, China, 23/07/13. <https://hdl.handle.net/1959.11/13600>

On B-Groups. / Chakrabarty, Kankana.
Proceedings of the 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). ed. / J Chen; X Wang; L Wang; J Sun; X Meng. Los Alamitos, United States of America: Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 82-86.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On B-Groups

AU - Chakrabarty, Kankana

PY - 2013

Y1 - 2013

N2 - The notion of bags play an essential role in dealing with knowledge representation problems where object classes allow repeated occurrence of elements. Sometimes bags with some special conditions can be drawn from a given set. Under these situations, is possible to define some algebraic structures on the given set. The present paper considers the situation when some bags with special conditions are drawn from a set, which, under a given operation, forms a group. Consequently, it demonstrates how an existing group structure defined on a given set can induce special structures on some bags drawn from this set. Hence, the notions of induced B-groups, induced abelian B-groups, and induced semi B-groups are introduced and discussed. Further, some characteristics of B-groups, abelian B-groups, and semi B-Groups are studied.

AB - The notion of bags play an essential role in dealing with knowledge representation problems where object classes allow repeated occurrence of elements. Sometimes bags with some special conditions can be drawn from a given set. Under these situations, is possible to define some algebraic structures on the given set. The present paper considers the situation when some bags with special conditions are drawn from a set, which, under a given operation, forms a group. Consequently, it demonstrates how an existing group structure defined on a given set can induce special structures on some bags drawn from this set. Hence, the notions of induced B-groups, induced abelian B-groups, and induced semi B-groups are introduced and discussed. Further, some characteristics of B-groups, abelian B-groups, and semi B-Groups are studied.

KW - Computation Theory and Mathematics

M3 - Conference contribution

SN - 9781467352536

SN - 9781467352529

SP - 82

EP - 86

BT - Proceedings of the 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

A2 - Chen, J

A2 - Wang, X

A2 - Wang, L

A2 - Sun, J

A2 - Meng, X

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Los Alamitos, United States of America

T2 - FSKD 2013: 10th International Conference on Fuzzy Systems and Knowledge Discovery

Y2 - 23 July 2013 through 25 July 2013

ER -

On B-Groups

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