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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Main Author: Palash Dutta
Format: Article
Language:English
Published: Tsinghua University Press 2015-03-01
Series:Fuzzy Information and Engineering
Subjects:
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.
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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