scispace - formally typeset
Open AccessBook

Fuzzy Measure Theory

Zhenyuan Wang, +1 more
TLDR
Introduction.
Abstract: 
Introduction. Required Background in Set Theory. Fuzzy Measures. Extensions. Structural Characteristics for Set Functions. Measurable Functions on Fuzzy Measure Spaces. Fuzzy Integrals. PanIntegrals. Applications. Index.

read more

Citations
More filters
Journal ArticleDOI

Sandor’s inequality for Sugeno integrals☆

J. Caballero, +1 more
- 01 Nov 2011 - 
TL;DR: In this paper, a fuzzy integral inequality for convex functions is proved and the results improve recent results that appear in literature.
Journal ArticleDOI

Multiobjective optimization under uncertainty in tunneling: application to the design of tunnel support/reinforcement with case histories

Fulvio Tonon, +2 more
- 01 Jan 2002 - 
TL;DR: Fuzzy Set Theory and Random Set Theory are used to develop a general interactive multiobjective procedure, which is then applied to the design of tunnel support/reinforcement and shows that both imprecision and randomness can be easily taken into account in tunnel design.
Journal ArticleDOI

Hesitant triangular fuzzy information aggregation operators based on Bonferroni means and their application to multiple attribute decision making.

Chunyong Wang, +3 more
- 16 Jul 2014 - 
TL;DR: The definition and some operational laws of hesitant triangular fuzzy elements are introduced and some operators based on Bonferroni means are developed to deal with multiple attribute decision-making problems under hesitant triangle fuzzy environment.
Journal ArticleDOI

Pseudo-optimal measures

Jun Li, +2 more
- 01 Oct 2010 - 
TL;DR: Based on a pseudo-addition @?
Journal ArticleDOI

Intuitionistic Fuzzy Probabilistic Aggregation Operators Based on the Choquet Integral: Application in Multicriteria Decision-Making

Gia Sirbiladze, +1 more
- 18 Jan 2017 - 
TL;DR: Several variants of the new operators, based on the Choquet integral and an associated probability class of a fuzzy measure, are used for the decision-making problem regarding the fiscal policy of a country and for the decisions regarding the best global supplier selection according to the core competencies of suppliers for a manufacturing company.