Syllogisms and 5-square of opposition with intermediate quantifiers in fuzzy natural logic

DOI10.1007/s11787-016-0146-zzbMath1396.03061OpenAlexW2341415563MaRDI QIDQ346769

Petra Murinová, Vilém Novák

Publication date: 30 November 2016

Published in: Logica Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11787-016-0146-z

zbMATH Keywords

fuzzy natural logicAristotle square of oppositiongeneralized Peterson's square of oppositionintermediate generalized quantifiers

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logic with extra quantifiers and operators (03C80) Polyominoes (05B50)

Related Items (9)

Unnamed Item ⋮ The Vatican square ⋮ Probabilistic squares and hexagons of opposition under coherence ⋮ Fuzzy quantifiers defined over fuzzy domains ⋮ Canonical syllogistic moods in traditional Aristotelian logic ⋮ Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\) ⋮ Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation ⋮ Formal analysis of Peterson's rules for checking validity of syllogisms with intermediate quantifiers ⋮ Most-intersection of countable sets

Uses Software

• ETPS

Cites Work

• Unnamed Item
• Unnamed Item
• The structure of generalized intermediate syllogisms
• A formal theory of generalized intermediate syllogisms
• On fuzzy type theory
• Generalized quantifiers and the square of opposition
• Fuzzy quantifiers. A computational theory
• A formal theory of intermediate quantifiers
• A comprehensive theory of trichotomous evaluative linguistic expressions
• Logical structure of fuzzy IF-THEN rules
• ``Setting \(n\)-opposition
• \(\mathbf L\)-fuzzy quantifiers of type \(\langle 1\rangle \) determined by fuzzy measures
• A computational approach to fuzzy quantifiers in natural languages
• Syllogisms using 'few', 'many', and 'most'
• On the logic of few, many, and most
• Metamathematics of fuzzy logic
• Dynamic reasoning with qualified syllogisms
• Algebraic foundations of many-valued reasoning
• An introduction to mathematical logic and type theory: To truth through proof.
• The power of the hexagon
• From Blanché's hexagonal organization of concepts to formal concept analysis and possibility theory
• Analysis of generalized square of opposition with intermediate quantifiers
• A fuzzy syllogistic reasoning schema for generalized quantifiers
• Things that are right with the traditional square of opposition
• Linguistics and natural logic
• Gradual Structures of Oppositions
• Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions
• Analogical Proportions and Square of Oppositions
• The Structure of Oppositions in Rough Set Theory and Formal Concept Analysis - Toward a New Bridge between the Two Settings

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