Fuzzy and Neutrosophic Sets in Semigroups

Authors

Florentin Smarandache, University of New MexicoFollow
Young Bae Jun
Madad Khan

Document Type

Book

Publication Date

2018

Abstract

The first chapter, Characterizations of regular and duo semigroups based on int-soft set theory, investigates the relations among int-soft semigroup, int-soft (generalized) bi-ideal, int-soft quasi-ideal and int-soft interior ideal. Using int-soft left (right) ideal, an int-soft quasi-ideal is constructed. We show that every int-soft quasi-ideal can be represented as the soft intersection of an int-soft left ideal and an int-soft right ideal. Using int-soft quasiideal, an int-soft bi-ideal is established. Conditions for a semigroup to be regular are displayed.

Publisher

Pons Publisher, Brussels

ISSN

978-1-59973-548-1

Language (ISO)

English

Keywords

Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, neutrosophic logic

Recommended Citation

Smarandache, Florentin; Young Bae Jun; and Madad Khan. "Fuzzy and Neutrosophic Sets in Semigroups." (2018). https://digitalrepository.unm.edu/math_fsp/236

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.