The construction of consistent possibility and necessity measures

DOI10.1016/S0165-0114(02)00047-7zbMath1011.28016OpenAlexW1984746572MaRDI QIDQ1867653

K. David Jamison, Weldon Alexander Lodwick

Publication date: 2 April 2003

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(02)00047-7

zbMATH Keywords

fuzzy measuresnon-additive measurespossibility and necessity measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (11)

Constructing consistent fuzzy surfaces from fuzzy data ⋮ Interval-valued probability in the analysis of problems containing a mixture of possibilistic, probabilistic, and interval uncertainty ⋮ Solving large-scale fuzzy and possibilistic optimization problems ⋮ A new approach to solve intuitionistic fuzzy optimization problem using possibility, necessity, and credibility measures ⋮ Interval finite elements as a basis for generalized models of uncertainty in engineering mechanics ⋮ Theoretical and semantic distinctions of fuzzy, possibilistic, and mixed fuzzy/possibilistic optimization ⋮ A universal approach to imprecise probabilities in possibility theory ⋮ On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties ⋮ A new approach to interval-valued probability measures, a formal method for consolidating the languages of information deficiency: foundations ⋮ A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques ⋮ On data-based estimation of possibility distributions

Cites Work

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• Analysis of structure in fuzzy linear programs
• Possibilities as cumulative subjective probabilities and a norm on the space of congruence classes of fuzzy numbers motivated by an expected utility functional
• Interval Methods and Fuzzy Optimization
• POSSIBILITY THEORY III: POSSIBILISTIC INDEPENDENCE
• On the Convolution of a Measure and a Function
• Fuzzy linear programming using a penalty method.

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