Game interpretations of fuzzy logic

master's thesis

Tia Krofel (Author), Alex Simpson (Mentor), Matteo Mio (Co-mentor)

Abstract

V tem magistrskem delu se posvečamo interpretaciji mehke logike z igrami. Spoznamo mehke metode, ki vključujejo tako mehko logiko kot mehko matematiko in podamo nekaj primerov njihovih aplikacij v financah. Nato predstavimo tri tipe iger za mehko logiko, in sicer Hintikkajeve igre, Gilesovo igro in igre seznanjanja. Hintikkajeve igre si ogledamo v kontekstih izjavne in mehke logike. Za Gilesovo igro mehki logiki dodamo močni obliki konjunkcije in disjunkcije. Glavni prispevek tega dela je predstavitev novega pojma iger seznanjanja in podan dokaz izreka o determiniranosti zanje.

Keywords

fuzzy logic;Łukasiewicz logic;semantic games;coupling games;

Data

Language:	English
Year of publishing:	2024
Typology:	2.09 - Master's Thesis
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	[T. Krofel]
UDC:	510.6
COBISS:	222173699
Views:	161
Downloads:	46
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary title:	Game interpretations of fuzzy logic
Secondary abstract:	In this work, we focus on game interpretations of fuzzy logic. We present fuzzy methods, which encompass fuzzy logic and fuzzy mathematics and offer a few examples of their applications in finance. We then present three types of game for fuzzy logic, namely Hintikka games, Giles' game and coupling games. We look at Hintikka games in the context of both propositional and fuzzy logic. For Giles' game, we add strong forms of conjunction and disjunction to fuzzy logic. The main contribution of this work is to present the novel notion of coupling games and to give a proof of a determinacy theorem for them.
Secondary keywords:	mehka logika;Łukasiewiczeva logika;semantične igre;igre seznanjanja;
Type (COBISS):	Master's thesis/paper
Study programme:	0
Thesis comment:	Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Finančna matematika - 2. stopnja
Pages:	XII, 40 str.
ID:	25551933