The role of states in triangle algebras

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ZAHIRI S.; BORUMAND SAEID A.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:3 Page(s): 163-176

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Information Journal Paper

Title

The role of states in triangle algebras

Author(s)

ZAHIRI S. | BORUMAND SAEID A. | Issue Writer Certificate

Keywords

Triangle algebraQ2

IVRL-filterQ2

State operatorQ2

State IVRL-filterQ2

Abstract

In this paper, we enlarge the language of Triangle algebra by adding a unary operation that describes properties of a state. These structure algebras are called state Triangle algebra. The vital properties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-filters are introduced and give some examples and properties of them are given. Using this concept, we define two types IVRL-extended - lters of a state Triangle algebra.

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APA: Copy

ZAHIRI, S., & BORUMAND SAEID, A.. (2020). The role of states in triangle algebras. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(3 ), 163-176. SID. https://sid.ir/paper/377188/en

Vancouver: Copy

ZAHIRI S., BORUMAND SAEID A.. The role of states in triangle algebras. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(3 ):163-176. Available from: https://sid.ir/paper/377188/en

IEEE: Copy

S. ZAHIRI, and A. BORUMAND SAEID, “The role of states in triangle algebras,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 3 , pp. 163–176, 2020, [Online]. Available: https://sid.ir/paper/377188/en

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