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Price indexes in time and space is a most relevant topic in statistical analysis from both the methodological and the application side. In this paper a price index providing a novel and effective solution to price indexes over several…

Econometrics · Economics 2020-05-20 Consuelo Nava , Maria Grazia Zoia

The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory, however, distance measures currently within the literature use a crisp value to represent the distance between fuzzy sets. A real valued distance…

Artificial Intelligence · Computer Science 2014-09-04 Josie C. McCullochy , Chris J. Hinde , Christian Wagner , Uwe Aickelin

The variance gamma model is a widely popular model for option pricing in both academia and industry. In this paper, we provide a new perspective for pricing European style options for the variance gamma model by deriving closed-form…

Mathematical Finance · Quantitative Finance 2023-06-21 Yuanda Chen , Zailei Cheng , Haixu Wang

Fuzzy rule-based model is a powerful tool for imitating the human way of thinking and solving uncertainty-related problems as it allows for understandable and interpretable rule bases. The objective of this paper is to study the…

Artificial Intelligence · Computer Science 2020-06-16 Sujatha A , L Govindaraju , N Shivakumar

This paper presents a Fuzzy Cognitive Map model to quantify implicit bias in structured datasets where features can be numeric or discrete. In our proposal, problem features are mapped to neural concepts that are initially activated by…

Machine Learning · Computer Science 2022-01-14 Gonzalo Nápoles , Isel Grau , Leonardo Concepción , Lisa Koutsoviti Koumeri , João Paulo Papa

The mathematical representation of uncertainty has led to a proliferation of preference structures, such as interval-valued fuzzy sets, intuitionistic fuzzy sets, and various granular models. While these extensions are often studied…

General Mathematics · Mathematics 2026-04-16 Juan Martínez-Moreno , Diego García-Zamora

We modify the standard model of price competition with horizontally differentiated products, imperfect information, and search frictions by allowing consumers to flexibly acquire information about a product's match value during their…

Theoretical Economics · Economics 2021-04-28 Vasudha Jain , Mark Whitmeyer

The nature of an atom in a bonded structure -- such as in molecules, in nanoparticles or solids, at surfaces or interfaces -- depends on its local atomic environment. In atomic-scale modeling and simulation, identifying groups of atoms with…

Chemical Physics · Physics 2023-06-29 King Chun Lai , Sebastian Matera , Christoph Scheurer , Karsten Reuter

The determination of acceptability prices of contingent claims requires the choice of a stochastic model for the underlying asset price dynamics. Given this model, optimal bid and ask prices can be found by stochastic optimization. However,…

Pricing of Securities · Quantitative Finance 2019-01-31 Martin Glanzer , Georg Ch. Pflug , Alois Pichler

This study addresses the interpretable estimation of price bounds in the context of price optimization. In recent years, price-optimization methods have become indispensable for maximizing revenue and profits. However, effective application…

Computer Science and Game Theory · Computer Science 2024-10-01 Shunnosuke Ikeda , Naoki Nishimura , Shunji Umetani

Each individual investor is different, with different financial goals, different levels of risk tolerance and different personal preferences. From the point of view of investment management, these characteristics are often defined as…

General Mathematics · Mathematics 2007-05-23 Jack Allen , Sukanto Bhattacharya , Florentin Smarandache

We study the price-setting problem of market makers under risk neutrality and perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as expectations of a true value of the…

Trading and Market Microstructure · Quantitative Finance 2012-10-16 Christoph Kühn , Matthias Riedel

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

Computer Science and Game Theory · Computer Science 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

Taxonomy Expansion, which models complex concepts and their relations, can be formulated as a set representation learning task. The generalization of set, fuzzy set, incorporates uncertainty and measures the information within a semantic…

Machine Learning · Computer Science 2025-06-11 Fred Xu , Song Jiang , Zijie Huang , Xiao Luo , Shichang Zhang , Adrian Chen , Yizhou Sun

Spread options are a fundamental class of derivative contract written on multiple assets, and are widely used in a range of financial markets. There is a long history of approximation methods for computing such products, but as yet there is…

Computational Finance · Quantitative Finance 2009-02-23 T. R. Hurd , Zhuowei Zhou

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

Logic · Mathematics 2021-02-08 Josefa M. Garcia , Pascual Jara

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

Artificial Intelligence · Computer Science 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

Convergence (virtual) bidding is an important part of two-settlement electric power markets as it can effectively reduce discrepancies between the day-ahead and real-time markets. Consequently, there is extensive research into the bidding…

Optimization and Control · Mathematics 2023-02-09 Letif Mones , Sean Lovett

In recent years, adaptive learning systems rely increasingly on learning hierarchy to customize the educational logic developed in their courses. Most approaches do not consider that the relationships of prerequisites between the skills are…

Computers and Society · Computer Science 2014-12-30 Ali Aajli , Karim Afdel

A simple spin system is constructed to simulate dynamics of asset prices and studied numerically. The outcome for the distribution of prices is shown to depend both on the dimension of the system and the introduction of price into the link…

General Finance · Quantitative Finance 2014-08-07 Krzysztof Urbanowicz , Peter Richmond , Janusz A. Hołyst