• I.Arockiarani Department of Mathematics,Nirmala College for women, Coimbatore,Tamilnadu, INDIA
  • J.Martina Jency Department of Mathematics,Coimbatore Institute of Engineering and Technology,Coimbatore, Tamilnadu, INDIA




Fuzzy Neutrosophic Set, Fuzzy Neutrosophic Relation

Abstract [English]

The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and t-conorms and characterize their properties.


Download data is not yet available.


I.Arockiarani, I.R.Sumathi and J.MartinaJency., Fuzzy Neutrosophic Soft Topological Spaces.,International journal of mathematical archives ,4(10),2013., 225-238

I.Arockiarani, J.MartinaJency., More on Fuzzy Neutrosophic sets and Fuzzy Neutrosophic Topological spaces,International journal of innovative research and studies .May (2014) ,vol 3, Issue 5,643-652.

K.Atanassov ,Intuitionistic fuzzy sets,Fuzzy sets and systems ,1986,20:87-96 DOI: https://doi.org/10.1016/S0165-0114(86)80034-3

K.Atanassov,More on intuitionistic fuzzy sets , Fuzzy sets and systems,1989,33(1):37-46. DOI: https://doi.org/10.1016/0165-0114(89)90215-7

T.T .Buhaescu ,Some observations on Intuitionistic fuzzy relations,Intimerat Seminar on Functional equations,111-118.

Bustince .H,P.Burillo,Structures on intuitionistic fuzzy relations , Fuzzy sets and systems,Vol.78,1996,293-303. DOI: https://doi.org/10.1016/0165-0114(96)84610-0

Chakraborthy.M.K,M.Das , Studies in fuzzy relation over fuzzy subsets, Fuzzy sets and systems,Vol .9,1983,79-89. DOI: https://doi.org/10.1016/S0165-0114(83)80006-2

Deschrijver.G.,E.e.Kerre,On the composition of intuitionistic fuzzy relations , Fuzzy sets and systems,Vol .136,2003,333-361. DOI: https://doi.org/10.1016/S0165-0114(02)00269-5

D.Dubois and H.Prade, A class of Fuzzy measures based on triangular norms,Inst.J.General systems ,8,43-61(1982). DOI: https://doi.org/10.1080/03081078208934833

L.W.Fung and K.S.Fu ,An axiomatic approach to rational decision- making in a fuzzy environment ,Int:L.A.Zadeh,K.S.Fu,K.Tanaka,M.Shimura .Eds.Fuzzy sets and decision processes,Academic press,227-256,(1975)

K.Menger,Statisticalmetrics,Proc.N.A.S.,Vol 28,1942. DOI: https://doi.org/10.1073/pnas.28.12.535

Mukerjee.R,Some observations on fuzzy relations over fuzzy subsets, Fuzzy sets and systems,Vol .15,1985,249-254. DOI: https://doi.org/10.1016/0165-0114(85)90018-1

F.Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference On Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics University of New Mexico, Gallup, NM 87301,USA(2002)

F.Smarandache, Neutrosophic set, a generialization of the intuituionistics fuzzy sets, Inter.J.PureAppl.Math.,24 (2005),287 – 297.




How to Cite

Arockiarani, & Jency, M. (2016). FUZZY NEUTROSOPHIC RELATIONS. International Journal of Research -GRANTHAALAYAH, 4(2), 17–30. https://doi.org/10.29121/granthaalayah.v4.i2.2016.2808