The aim of this paper is mainly to find the existence of a common coincidence point for three intuitionistic fuzzy set-valued maps in the context of (α, β) - level sets of an intuitionistic fuzzy set. The main result has been applied to derive the solution of a system of nonlinear integral equations. Moreover, an interesting example is put forth to demonstrate the applicability of the method.
Abu-DoniaH.M., Common fixed points theorems for fuzzy mappings in metric space under φ-contraction condition, Chaos Solitons & Fractals34 (2007), 538–543.
2.
AladjovH., Intuitionistic fuzzy estimations of biological interactions, Notes on (2011).
3.
AngelovP.P., Optimization in an intuitionistic fuzzy environment, Fuzzy sets and Systems86(3) (1997), 299–306.
4.
AtanassovK.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems20(1) (1986), 87–96.
5.
AtanassovK.T., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems33(1) (1989), 37–45.
6.
AtanassovK.T., In Intuitionistic fuzzy sets, Physica-Verlag HD, 1999, pp. 1–137.
7.
AzamA. and RashidM., A fuzzy coincidence theorem with applications in a function space, Journal of Intelligent and Fuzzy Systems27(4) (2014), 1775–1781.
8.
AzamA., RashidM. and MehmoodN., Coincidence of crisp and fuzzy functions, Journal of Nonlinear Sciences and Applications (2016).
9.
AzamA., TabassumR. and RashidM., Coincidence and fixed point theorems of intuitionistic fuzzy mappings with applications, Journal of Mathematical Analysis8(4) (2017), 56–77.
10.
BustinceH. and BurilloP., Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems79 (1996), 403–405.
HeilpernS., Fuzzy mappings and fixed point theorems, Journal of Mathematical Analysis and Applications83(2) (1981), 566–569.
13.
HuT., Fixed point theorems for multivalued mappings, Canad Math Bull23 (1980), 193–197.
14.
HurK., KangH.W. and RyouJ.H., Intuitionistic fuzzy generalized bi-ideals of a semigroup, Int Math Forum1(6) (2006), 257–274.
15.
LeeB.S. and ChoS.J., A fixed point theorem for contractive type fuzzy mappings, Fuzzy Sets and Systems61 (1994), 309–312:
16.
LiuH.W. and WangG.J., Multi-criteria decision-making methods based on intuitionistic fuzzy sets, European Journal of Operational Research179(1) (2007), 220–233.
17.
MaX., LiuQ. and ZhanJ., A survey of decision making methods based on certain hybrid soft set models, Artificial Intelligence Review47(4) (2017), 507–530.
18.
MaX., ZhanJ., AliM.I. and MehmoodN., A survey of decision making methods based on two classes of hybrid soft set models, Artificial Intelligence Review49(4) (2018), 511–529.
19.
El NaschieM.S., On the uncertainty of Cantorian geometry and the two-slit experiment, Chaos, Soliton and Fractals9(3) (1998), 517–529.
20.
El NaschieM.S., On the unification of heterotic strings theory, M theory and ∈∞ theory, Chaos, Soliton and Fractals11(14) (2000), 2397–2407.
21.
NadlerS.B.Jr, Multi-valued contraction mappings, Pacific Journal of Mathematics30(2) (1969), 475–488.
22.
ParkJ.Y. and JeongJ.U., Fixed point theorems for fuzzy mappings, Fuzzy Sets and Systems87 (1997), 111–116.
23.
PawlakZ., Rough sets, International Journal of Information and Computer Sciences11 (1982), 341–356.
24.
RadevaV.V., AtanassovK.T., KimS.K., ChangO.B. and KimY.S., On generalized net-models of intuitionistic fuzzy abstract system, In Fuzzy Systems Conference Proceedings IEEE International, 21999, pp. 1039–1044.
25.
ShenY.H., WangF.X. and ChenW., A note on intuitionistic fuzzy mappings, Iranian Journal of Fuzzy Systems9(5) (2012), 63–76.
26.
ShoaibA., KumamP., ShahzadA., PhiangsungnoenS. and MahmoodQ., Fixed point results for fuzzy mappings in a b-metric space, Fixed Point Theory and Applications1 (2018), 1–12.
27.
TripathyB.C. and BaruahA., New type of difference sequence spaces of fuzzy real numbers, Math Modell Analysis14(3) (2009), 391–397.
28.
TripathyB.C. and DasP.C., On convergence of series of fuzzy real numbers, Kuwait J Sci Eng39(1A) (2012), 57–70.
29.
TripathyB.C., PaulS. and DasN.R., A fixed point theorem in a generalized fuzzy metric space, Boletim da Sociedade Paranaense de Matematica32(2) (2014), 221–227.
30.
ZadehL.A., Fuzzy sets, Information and Control8(3) (1965), 338–353.
31.
ZhanJ., AliM.I. and MehmoodN., On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods, Applied Soft Computing56 (2017), 446–457.
32.
ZhanJ. and ZhuK., A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemrings and corresponding decision making, Soft Computing21(8) (2017), 1923–1936.
33.
ZhouL., WuW.Z. and ZhangW.X., Properties of the cut-sets of intuitionistic fuzzy relations, Fuzzy Systems and Mathematics23(2) (2009), 110–115.