ScholarLens Back to search
2021•Annals of Communications in MathematicsOpen access

On Pythagorean normal subbisemiring of bisemiring

M. Palanikumar and K. Arulmozhi

Open full text 0 citations

Abstract

We discuss the notion of Pythagorean subbisemiring, level sets of Pythagorean subbisemirings and Pythagorean normal subbisemiring of a bisemiring. Also, we investigate some of the properties related to subbisemirings. The fuzzy subset L = (πPL , ωPL ) is a Pythagorean subbisemiring if and only if all non-empty level set L(t,s) (t, s ∈ (0, 1]) is a subbisemiring. The cartesian product of two Pythagorean subbisemiring is also Pythagorean subbisemiring. The homomorphic image and preimage of Pythagorean subbisemiring is also Pythagorean subbisemiring. To illustrate our results and examples are given.

About this research paper

What this paper is about

We discuss the notion of Pythagorean subbisemiring, level sets of Pythagorean subbisemirings and Pythagorean normal subbisemiring of a bisemiring. Also, we investigate some of the properties related to subbisemirings. The fuzzy subset L = (πPL , ωPL ) is a Pythagorean subbisemiring if and only if all non-empty level set L(t,s) (t, s ∈ (0, 1]) is a subbisemiring. The cartesian product of two Pythagorean subbisemiring is also Pythagorean subbisemiring. The homomorphic image and preimage of Pythagorean subbisemiring is also Pythagorean subbisemiring. To illustrate our results and examples are given.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We discuss the notion of Pythagorean subbisemiring, level sets of Pythagorean subbisemirings and Pythagorean normal subbisemiring of a bisemiring. Also, we investigate some of the properties related to subbisemirings. The fuzzy subset L = (πPL , ωPL ) is a Pythagorean subbisemiring if and only if all non-empty level set L(t,s) (t, s ∈ (0, 1]) is a subbisemiring. The cartesian product of two Pythagorean subbisemiring is also Pythagorean subbisemiring. The homomorphic image and preimage of Pythagorean subbisemiring is also Pythagorean subbisemiring. To illustrate our results and examples are given.

Key concepts: Pythagorean theorem, Pythagorean triple, Pythagorean trigonometric identity, Mathematics, Combinatorics, Geometry, Mathematical analysis, Linear interpolation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On Pythagorean normal subbisemiring of bisemiring — Research Paper | ScholarLens