Co-rotation-annihilations of residuated semigroups

Sándor Jenei; Susanne Saminger-Platz

doi:10.1016/j.fss.2015.03.017

Co-rotation-annihilations of residuated semigroups

Sándor Jenei, Susanne Saminger-Platz

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

Abstract

Two new ways to construct involutive residuated semigroups are introduced in this paper, namely, connected and disconnected co-rotation-annihilations. Co-rotation-annihilations utilizes two particular kinds of residuated semigroups to construct a third one. The method is suitable for constructing a large class of examples of negative rank FL_e-involutive image-algebras, that is, where the unit element of the algebra is smaller than the falsum constant, which defines the involution in the algebra.

Original language	English
Pages (from-to)	296-306
Number of pages	10
Journal	Fuzzy Sets and Systems
Volume	292
DOIs	https://doi.org/10.1016/j.fss.2015.03.017
Publication status	Published - 2016

Fields of science

101 Mathematics
101013 Mathematical logic
603109 Logic

JKU Focus areas

Computation in Informatics and Mathematics

Access to Document

10.1016/j.fss.2015.03.017

Cite this

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title = "Co-rotation-annihilations of residuated semigroups",

abstract = "Two new ways to construct involutive residuated semigroups are introduced in this paper, namely, connected and disconnected co-rotation-annihilations. Co-rotation-annihilations utilizes two particular kinds of residuated semigroups to construct a third one. The method is suitable for constructing a large class of examples of negative rank FL\_e-involutive image-algebras, that is, where the unit element of the algebra is smaller than the falsum constant, which defines the involution in the algebra.",

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AB - Two new ways to construct involutive residuated semigroups are introduced in this paper, namely, connected and disconnected co-rotation-annihilations. Co-rotation-annihilations utilizes two particular kinds of residuated semigroups to construct a third one. The method is suitable for constructing a large class of examples of negative rank FL_e-involutive image-algebras, that is, where the unit element of the algebra is smaller than the falsum constant, which defines the involution in the algebra.

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DO - 10.1016/j.fss.2015.03.017

M3 - Article

SN - 1872-6801

VL - 292

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EP - 306

JO - Fuzzy Sets and Systems

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