Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements
Dempster–Shafer theory of evidence is one of the important tools for decision making under uncertainty. It is more useful in situations when cost of technical difficulties is involved or uniqueness of the situation under study makes it difficult/impossible to cover enough observations to quantify th...
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Format: | Article |
Language: | English |
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Tsinghua University Press
2015-03-01
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Series: | Fuzzy Information and Engineering |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865815000229 |
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author | Palash Dutta |
author_facet | Palash Dutta |
author_sort | Palash Dutta |
collection | DOAJ |
description | Dempster–Shafer theory of evidence is one of the important tools for decision making under uncertainty. It is more useful in situations when cost of technical difficulties is involved or uniqueness of the situation under study makes it difficult/impossible to cover enough observations to quantify the models with real data. Consequently, experts provide opinions in terms of basic probability assignment for focal elements. Usually, it is seen that experts provide basic probability assignment for interval (or crisp) focal elements. However, due to presence of uncertainty focal elements can sometimes be treated as normal/generalized triangular fuzzy number (TFN in short) instead of intervals or crisp sets. TFN encodes only most likely value (mode) and the spread. This paper presents an attempt to combine Dempster–Shafer structures (DSS in short) with generalized/normal fuzzy focal elements using possibilistic sampling technique. To this end, human health risk assessment is carried out under such setting. |
first_indexed | 2024-03-12T19:53:43Z |
format | Article |
id | doaj.art-3488a3143edc40e2b8b141d6b1d4e79d |
institution | Directory Open Access Journal |
issn | 1616-8658 |
language | English |
last_indexed | 2024-03-12T19:53:43Z |
publishDate | 2015-03-01 |
publisher | Tsinghua University Press |
record_format | Article |
series | Fuzzy Information and Engineering |
spelling | doaj.art-3488a3143edc40e2b8b141d6b1d4e79d2023-08-02T02:54:23ZengTsinghua University PressFuzzy Information and Engineering1616-86582015-03-0171153010.1016/j.fiae.2015.03.002Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal ElementsPalash DuttaDempster–Shafer theory of evidence is one of the important tools for decision making under uncertainty. It is more useful in situations when cost of technical difficulties is involved or uniqueness of the situation under study makes it difficult/impossible to cover enough observations to quantify the models with real data. Consequently, experts provide opinions in terms of basic probability assignment for focal elements. Usually, it is seen that experts provide basic probability assignment for interval (or crisp) focal elements. However, due to presence of uncertainty focal elements can sometimes be treated as normal/generalized triangular fuzzy number (TFN in short) instead of intervals or crisp sets. TFN encodes only most likely value (mode) and the spread. This paper presents an attempt to combine Dempster–Shafer structures (DSS in short) with generalized/normal fuzzy focal elements using possibilistic sampling technique. To this end, human health risk assessment is carried out under such setting.http://www.sciencedirect.com/science/article/pii/S1616865815000229Fuzzy focal elementsDempster–Shafer theory of evidenceGeneralized/normal fuzzy numberRisk analysis |
spellingShingle | Palash Dutta Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements Fuzzy Information and Engineering Fuzzy focal elements Dempster–Shafer theory of evidence Generalized/normal fuzzy number Risk analysis |
title | Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements |
title_full | Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements |
title_fullStr | Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements |
title_full_unstemmed | Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements |
title_short | Uncertainty Modeling in Risk Assessment Based on Dempster–Shafer Theory of Evidence with Generalized Fuzzy Focal Elements |
title_sort | uncertainty modeling in risk assessment based on dempster shafer theory of evidence with generalized fuzzy focal elements |
topic | Fuzzy focal elements Dempster–Shafer theory of evidence Generalized/normal fuzzy number Risk analysis |
url | http://www.sciencedirect.com/science/article/pii/S1616865815000229 |
work_keys_str_mv | AT palashdutta uncertaintymodelinginriskassessmentbasedondempstershafertheoryofevidencewithgeneralizedfuzzyfocalelements |