6 edition of **Lattice-valued logic** found in the catalog.

- 292 Want to read
- 1 Currently reading

Published
**2003**
by Springer in Berlin, New York
.

Written in English

- Many-valued logic,
- Fuzzy systems

**Edition Notes**

Includes bibliographical references (p. [361]-388) and index.

Statement | Yang Xu ...[et al.]. |

Series | Studies in fuzziness and soft computing -- v. 132. |

Contributions | Xu, Yang. |

Classifications | |
---|---|

LC Classifications | QA49.45 .L37 2003, QA49.45 .L37 2003 |

The Physical Object | |

Pagination | xvi, 390 p. : |

Number of Pages | 390 |

ID Numbers | |

Open Library | OL17722718M |

ISBN 10 | 354040175X |

LC Control Number | 2003053001 |

Lattice valued logic, which is a counterpart of complete lattice, is an example of global logic. Logical operations of lattice valued logic are: _; ^; 9; 8and the basic implication!: Quantum logic was proposed by ﬀ and von Neumann as a logic of quantum theory. The algebraic counterpart of quantum logic is a com-plete orthomodular Size: 2MB. On an Algebra of Lattice-Valued Logic. Lars Hansen - - Journal of Symbolic Logic 70 (1) - Some Remarks on the Algebraic Structure of the Medvedev : /

Mingsheng Ying. Fuzzifying topology based on complete residuated lattice-valued logic (I). Fuzzy Sets and Systems , 56(3) 37 pages. View Details. Mingsheng Ying. A new approach for fuzzy topology (II). Fuzzy Sets and Systems , 47(2) pages. View Details. Mingsheng Ying. A new approach for fuzzy topology (I). Abstract: The present paper focuses on a resolution-based automated reasoning theory in a lattice-valued logic system with truth-values defined in a lattice-valued algebraic structure - lattice implication algebras (LIA) in order to handle automated deduction under an uncertain environment. Particularly, as a continuation and extension of the established work on binary .

If the address matches an existing account you will receive an email with instructions to reset your password. Modal Logic - by Patrick Blackburn June Languages of propositional modal logic are propositional languages to which sentential operators (usually called modalities or modal operators) have been spite of their syntactic simplicity, such languages turn out to be useful tools for describing and reasoning about relational structures.A relational structure is a .

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Lattice-valued logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

In this textbook for the first time a general introduction on lattice-valued logic is by: Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

In this textbook for the first time a general introduction on lattice-valued logic is. Lattice-valued logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

In this textbook for the first time a general introduction on lattice-valued logic is given. Lattice-Valued Logic An Alternative Approach to Treat Fuzziness and Incomparability by Yang Xu Published by Springer Berlin Heidelberg. Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

In this textbook for the first time a general introduction on lattice-valued logic is given. Lattice-valued logic is a generalized logic whose definition function is set-valued.

Abstract—In this paper, a linguistic truth-value lattice proposition logic Lattice-valued logic book LTVLP(X) is presented ﬁrstly. It is an useful and reasonable tool to deal with the linguistic term set including linear ordered set and non-linear ordered set.

Then an operator linguistic truth-value lattice-valued proposition logic OLTVLP(X) is given. This paper focuses on resolution-based automated reasoning theory in a lattice-valued logic system with truth values that are defined in a lattice-valued l Multiary α-Resolution Principle for a Lattice-Valued Logic - IEEE Journals & MagazineCited by: voted to the theme Lattice-Valued Logic and its Applications.

The goal of the seminar is to present and discuss recent advances of mathematical fuzzy logic (understood in the broader framework of lattice-valued logics) and concentrate on its applications in various areas of computer science, linguistics, and philos-ophy.

In context to this theory, quantum logic is treated as an orthomodular lattice-valued logic. The approach employed in developing this theory is essentially the semantical analysis.

This chapter introduces notions of orthomodular lattice-valued finite automata and pushdown automata and their various variants. The purpose of this paper is to present an algebraic generalization of the traditional two-valued logic.

This involves introducing a theory of automorphism algebras, which is an algebraic theory of many-valued logic having a complete lattice as the set of truth : Lars Hansen. In Chapter 9, we discussed the lattice-valued propositional logics based on lattice implication algebra and their properties.

In this chapter, we discuss the lattice-valued first-order logic based on lattice implication algebra. In Sectiona lattice-valued first-order logic LF(X) is : Yang Xu, Keyun Qin, Da Ruan, Jun Liu. Lattice-valued logical algebra —Lattice Implication Algebra (LIA) Y.

Xu, Lattice implication algebra, Journal of Southwest Jiaotong University (in Chinese),1, pp. Structure and properties of LIA Lattice-valued algebraic logic —lattice-valued logic based on LIA Approximate reasoning based on lattice-valued logicFile Size: KB.

Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems. In this textbook for the first time a general introduction on lattice-valued logic is given. It systematically summarizes research from.

Also, a truth-functional system of probabilistic logic [18] may be seen as a residuated lattice-valued logic. From the point of view of algebraic semantics, pure fragment of commutative linear logic [5] is a residuated lattice-valued logic. Ying [24] studied fuzzifying topology based on complete residuated lattice-valued by: By using the lattice implication algebra, an element linguistic truth lattice-valued logic system with linguistic hedges is established for the linguistic truth-valued logic to better express.

Automata theory based on complete residuated lattice-valued logic, called L-valued finite automata (abbr. L-VFAs), was introduced by the second author in Author: XingHongyan, QiuDaowen, LiuFuchun, FanZhujun.

The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of Read more. Shuwei Chen, Jun Liu, Hui Wang and Juan Carlos Augusto, Parameterized Uncertain Reasoning Approach Based on a Lattice-Valued Logic, Symbolic and Quantitative Approaches to Reasoning with Uncertainty, /_49, (), ().Cited by: Abstract Automata theory based on complete residuated lattice-valued logic, called L-valued finite automata (L-VFAs), has been established by Qiu recently.

In this paper, we define a kind of Mealy type of L-VFAs (MLFAs), a generalization of L-VFAs. Two kinds of statewise equivalence relations are introduced, and a minimal form is : WuLihua, QiuDaowen.

Introduction On Algebras of Lattice-Valued Logic L-VL On Algebras of Lattice-Valued Modal Logic L-ML Outline 1 Introduction 2 On Algebras of Lattice-Valued Logic L-VL Lattice-valued semantics Algebraic axiomatization of L-VL Prime L-ﬁlters and a Stone-type representation.

Lattice-Valued Logic: An Alternative Approach to Treat Fuzziness and Incomparability Book Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing.2 Lattice-valued set theory Titani [16] de nes her lattice-valued logic L on complete lattices where she introduces a basic implication, which is two-valued and represents the lattice ordering, and a corre-sponding negation.

Lattice-valued logic has the logical symbols ^(interpreted as lattice meet), _(interpreted as lattice join),!: 8, 9.