Results 21 to 30 of about 74,540 (198)

Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras

open access: yesAxioms, 2022
As an extension of interval-valued pseudo t-norms, interval-valued pseudo-overlap functions (IPOFs) play a vital role in solving interval-valued multi-attribute decision making problems.
Xiaohong Zhang, Rong Liang
doaj   +1 more source

‎Gautama and Almost Gautama Algebras and their associated logics [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎Recently‎, ‎Gautama algebras were defined and investigated as a common generalization of the variety $\mathbb{RDBLS}\rm t$ of regular double Stone algebras and the variety $\mathbb{RKLS}\rm t$ of regular Kleene Stone algebras‎, ‎both of which are‎, ‎in ...
Juan M. Cornejo   +1 more
doaj   +1 more source

On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
doaj   +1 more source

Many-Valued Coalgebraic Logic: From Boolean Algebras to Primal Varieties [PDF]

open access: yes, 2023
We study many-valued coalgebraic logics with primal algebras of truth-degrees. We describe a way to lift algebraic semantics of classical coalgebraic logics, given by an endofunctor on the variety of Boolean algebras, to this many-valued setting, and we ...
Kurz, Alexander, Poiger, Wolfgang
core   +3 more sources

Chinese Research on Mathematical Logic and the Foundations of Mathematics

open access: yesAsian Studies, 2022
This paper outlines the Chinese research on mathematical logic and the foundations of mathematics. Firstly, it presents the introduction and spread of mathematical logic in China, especially the teaching and translation of mathematical logic initiated ...
Hongguang Wang, Guoping Du
doaj   +1 more source

A Real-Valued Modal Logic [PDF]

open access: yesLogical Methods in Computer Science, 2018
A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu   +2 more
doaj   +1 more source

Criterion of Completeness and Submaximal Ultraclones for Linear Hyperfunctions of Rank 2

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
In recent years, the direction associated with the study of maps from a finite set A to the set of all subsets of the set A, including the empty one, has been intensively developing. Such mappings are called multifunctions on A, as well as hyperfunctions
I.K. Sharankhaev
doaj   +1 more source

Four-valued expansions of Dunn-Belnap's logic (I): Basic characterizations

open access: yesBulletin of the Section of Logic, 2020
Basic results of the paper are that any four-valued expansion L4 of Dunn-Belnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 𝔄4 of a De Morgan non-Boolean four-valued ...
Alexej P. Pynko
doaj   +1 more source

Quasivarieties of Wajsberg hoops [PDF]

open access: yes, 2023
In this paper we deal with quasivarieties of residuated structures which form the equivalent algebraic semantics of a positive frag- ment of some substructural logic.
Agliano', Paolo
core   +1 more source

Regular Partial Residuated Lattices and Their Filters

open access: yesMathematics, 2022
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
doaj   +1 more source

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