Results 51 to 60 of about 378,509 (227)
Partial Residuated Implications Derived from Partial Triangular Norms and Partial Residuated Lattices [PDF]
In this paper, we reveal some relations between fuzzy logic and quantum logic, and mainly study the partial residuated implications (PRIs) derived from partial triangular norms (partial t-norms) and partial residuated lattices (PRLs), and expand some results in the article "material implication in lattice effect algebra".
arxiv
Semisimple Varieties of Implication Zroupoids [PDF]
It is a well known fact that Boolean algebras can be defined using only implication and a constant. In 2012, this result was extended to De Morgan algebras in [8] which led Sankappanavar to introduce, and investigate, the variety I of implication ...
Cornejo, Juan M.+1 more
core +2 more sources
A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking
In order to deal with the decision making problem including some linguistic values uncertainty information, we propose an approach for decision making with linguistic weighted and unavoidable incomparable ranking based on Linguistic-valued lattice ...
Yunxia Zhang+3 more
doaj +1 more source
Non-Clausal Multi-ary α-Generalized Resolution Calculus for a Finite Lattice-Valued Logic
Due to the need of the logical foundation for uncertain information processing, development of efficient automated reasoning system based on non-classical logics is always an active research area.
Yang Xu+4 more
doaj +1 more source
A Graph-theoretic Method to Define any Boolean Operation on Partitions [PDF]
The lattice operations of join and meet were defined for set partitions in the nineteenth century, but no new logical operations on partitions were defined and studied during the twentieth century. Yet there is a simple and natural graph-theoretic method
Ellerman, David
core +3 more sources
An algebraic analysis of implication in non-distributive logics [PDF]
In this paper, we introduce the concept of a (lattice) skew Hilbert algebra as a natural generalization of Hilbert algebras. This notion allows a unified treatment of several structures of prominent importance for mathematical logic, e.g. (generalized) orthomodular lattices, and MV-algebras, which admit a natural notion of implication.
arxiv
Orbital Topology of Chiral Crystals for Orbitronics
Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara+16 more
wiley +1 more source
The aim of this paper is to provide a multiple attribute group decision making (MAGDM) method based on the 2-dimension linguistic weight Bonferroni mean aggregation (2DLWBMA) operator.
Jianbin Zhao, Hua Zhu
doaj +1 more source
Tense operators on distributive lattices with implication [PDF]
Inspired by the definition of tense operators on distributive lattices presented by Chajda and Paseka in 2015, in this paper, we introduce and study the variety of tense distributive lattices with implication and we prove that these are categorically equivalent to a full subcategory of the category of tense centered Kleene algebras with implication ...
arxiv
Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin+2 more
wiley +1 more source