Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman

The theory of soft sets introduced in 1999 by Molodtsov is an alternative mathematical tool for dealing with uncertainties. It basically deals with information representations of objects characterized by parameters which are defined over a single common universal set. Combinations of the theory with...

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Main Author: Sulaiman, Nor Hashimah
Format: Book Section
Language:English
Published: Institute of Graduate Studies, UiTM 2016
Subjects:
Online Access:http://ir.uitm.edu.my/id/eprint/19378/
http://ir.uitm.edu.my/id/eprint/19378/1/ABS_NOR%20HASHIMAH%20SULAIMAN%20TDRA%20VOL%209%20IGS%2016.pdf
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spelling uitm-193782018-06-11T06:08:27Z http://ir.uitm.edu.my/id/eprint/19378/ Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman Sulaiman, Nor Hashimah Malaysia The theory of soft sets introduced in 1999 by Molodtsov is an alternative mathematical tool for dealing with uncertainties. It basically deals with information representations of objects characterized by parameters which are defined over a single common universal set. Combinations of the theory with fuzzy sets and interval-valued fuzzy sets have resulted in the so-called fuzzy soft sets and interval-valued fuzzy soft sets. Various theoretical studies on these theories and the variants have been made, and applications of the theories in various areas particularly in the area of decision making are continuously explored. Soft sets, fuzzy soft sets and interval-valued fuzzy soft sets have greater potential in information representation should the universe sets of elements not be restricted to only a common universal set. Real life situations may involve descriptions of objects, situations or entities based on certain characteristics or attributes which may be associated with different sets of elements of different types of universal sets. In this thesis, we introduce the concepts of multiaspect soft set (MASS), multiaspect fuzzy soft sets (MAFSS) and multiaspect intervalvalued fuzzy soft sets (MAIVFSS) which are generalizations of soft sets, fuzzy soft sets and interval-valued fuzzy soft sets, respectively… Institute of Graduate Studies, UiTM 2016 Book Section PeerReviewed text en http://ir.uitm.edu.my/id/eprint/19378/1/ABS_NOR%20HASHIMAH%20SULAIMAN%20TDRA%20VOL%209%20IGS%2016.pdf Sulaiman, Nor Hashimah (2016) Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman. In: The Doctoral Research Abstracts. IGS Biannual Publication, 9 (9). Institute of Graduate Studies, UiTM, Shah Alam.
repository_type Digital Repository
institution_category Local University
institution Universiti Teknologi MARA
building UiTM Institutional Repository
collection Online Access
language English
topic Malaysia
spellingShingle Malaysia
Sulaiman, Nor Hashimah
Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
description The theory of soft sets introduced in 1999 by Molodtsov is an alternative mathematical tool for dealing with uncertainties. It basically deals with information representations of objects characterized by parameters which are defined over a single common universal set. Combinations of the theory with fuzzy sets and interval-valued fuzzy sets have resulted in the so-called fuzzy soft sets and interval-valued fuzzy soft sets. Various theoretical studies on these theories and the variants have been made, and applications of the theories in various areas particularly in the area of decision making are continuously explored. Soft sets, fuzzy soft sets and interval-valued fuzzy soft sets have greater potential in information representation should the universe sets of elements not be restricted to only a common universal set. Real life situations may involve descriptions of objects, situations or entities based on certain characteristics or attributes which may be associated with different sets of elements of different types of universal sets. In this thesis, we introduce the concepts of multiaspect soft set (MASS), multiaspect fuzzy soft sets (MAFSS) and multiaspect intervalvalued fuzzy soft sets (MAIVFSS) which are generalizations of soft sets, fuzzy soft sets and interval-valued fuzzy soft sets, respectively…
format Book Section
author Sulaiman, Nor Hashimah
author_facet Sulaiman, Nor Hashimah
author_sort Sulaiman, Nor Hashimah
title Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
title_short Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
title_full Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
title_fullStr Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
title_full_unstemmed Multiaspect soft sets and its generalizations / Nor Hashimah Sulaiman
title_sort multiaspect soft sets and its generalizations / nor hashimah sulaiman
publisher Institute of Graduate Studies, UiTM
publishDate 2016
url http://ir.uitm.edu.my/id/eprint/19378/
http://ir.uitm.edu.my/id/eprint/19378/1/ABS_NOR%20HASHIMAH%20SULAIMAN%20TDRA%20VOL%209%20IGS%2016.pdf
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