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	11
Journal	Fuzzy Sets and Systems
Volume	292
DOIs	https://doi.org/10.1016/j.fss.2015.03.017
Publication status	Published - 01 Jun 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

@article{e0913dd35d844577a733f4ea17471d86,

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.",

author = "S{\'a}ndor Jenei and Susanne Saminger-Platz",

year = "2016",

month = jun,

day = "1",

doi = "10.1016/j.fss.2015.03.017",

language = "English",

volume = "292",

pages = "296--306",

journal = "Fuzzy Sets and Systems",

issn = "1872-6801",

publisher = "Elsevier",

}

TY - JOUR

T1 - Co-rotation-annihilations of residuated semigroups

AU - Jenei, Sándor

AU - Saminger-Platz, Susanne

PY - 2016/6/1

Y1 - 2016/6/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/84926431952

U2 - 10.1016/j.fss.2015.03.017

DO - 10.1016/j.fss.2015.03.017

M3 - Article

SN - 1872-6801

VL - 292

SP - 296

EP - 306

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Co-rotation-annihilations of residuated semigroups

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Cite this