FUZZY NUMBER-VALUED FUZZY RELATION

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ADABITABAR FIROZJA M.; FIROUZIAN S.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:4 Page(s): 327-333

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Information Journal Paper

Title

FUZZY NUMBER-VALUED FUZZY RELATION

Author(s)

ADABITABAR FIROZJA M. | FIROUZIAN S. | Issue Writer Certificate

Keywords

FUZZY NUMBERSQ2

RELATIONQ2

FUZZY RELATIONQ2

REFLEXIVEQ2

SYMMETRIC AND TRANSITIVEQ2

Abstract

It is well known fact that binary RELATIONs are generalized mathematical functions. Contrary to functions from domain to range, binary RELATIONs may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary RELATIONs as well. Depending on the domain or range or both are fuzzy value fuzzy set, interval fuzzy value fuzzy set or fuzzy number value fuzzy set, define of the fuzzy RELATION is different. Given a fuzzy RELATION, its domain and range are fuzzy number value fuzzy sets. In this paper, initially we define fuzzy number value fuzzy sets and then propose fuzzy number-valued fuzzy RELATION (FN-VFR). We also introduce property of REFLEXIVE, symmetric, transitive and equivalence RELATION of FN-VFR. As follow, we prove some theorems for FN-VFR with property of REFLEXIVE, SYMMETRIC AND TRANSITIVE. Also, we show examples for FN-VFR.

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APA: Copy

ADABITABAR FIROZJA, M., & FIROUZIAN, S.. (2015). FUZZY NUMBER-VALUED FUZZY RELATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(4), 327-333. SID. https://sid.ir/paper/231696/en

Vancouver: Copy

ADABITABAR FIROZJA M., FIROUZIAN S.. FUZZY NUMBER-VALUED FUZZY RELATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(4):327-333. Available from: https://sid.ir/paper/231696/en

IEEE: Copy

M. ADABITABAR FIROZJA, and S. FIROUZIAN, “FUZZY NUMBER-VALUED FUZZY RELATION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 4, pp. 327–333, 2015, [Online]. Available: https://sid.ir/paper/231696/en

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