20.500.12556/RUL-166169 Interpretacija mehke logike z igrami magistrsko delo Game interpretations of fuzzy logic 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. 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. mehka logika Łukasiewiczeva logika semantične igre igre seznanjanja fuzzy logic Łukasiewicz logic semantic games coupling games true false false Angleški jezik Slovenski jezik Magistrsko delo/naloga 2024-12-22 08:15:03 2024-12-22 08:15:06 2025-01-15 08:16:36 0000-00-00 00:00:00 2024 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 510.6 149910 222173699 16599.pdf 16599.pdf 1 8F4D9335C032265FEAD59EAD0F5C1CF3 09e2827e8efed64881b524c84f8e03b31ed6268d12428782709ffa7890bed4b8 e16747eb-c033-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=197573 Fakulteta za matematiko in fiziko 0 0 0