An Interactive Intuitionistic Fuzzy Non-Linear Fractional Programming Problem

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3 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom g fuo ] [ ] [ m m m m pv T N p : = m fo [ ]: gu uo fuzz um TN N w mmp fuo o-mmp fuo v gv : ow ow v w T TN o : fo []: W TN u o gu fuzz um TN o fo []: m opo o TN : o: Suo: Mupo: } m{ } m{ w } m{ } m{ vo: S mupo om omuo Souo op T g mm mo of N o foow: g f M g w -mo o v vo g f pv uppo o vu ouou o fuo w N T pm pv um o TN o pou fo ovg v N vop w off TN T pom ff fom p pom pm vu p o o-fuzz mo pm ow Tfo fo g of fo w pf M pom fomu foowg uo o-fuzz -o fo pogmmg pom - N w uo o-fuzz um -N : M

4 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom w off pm pv um o o-fuzz um f gu Souo ou fo v N ug vo fo pom u o quv uo mu-ov o- fo pogmmg pom MON foow: M M M M M u um f go of pom ug oop fomo [ ] ov mo MON ov o foowg uo mu-ov o- pogmmg pom MON g = > foow: M M M M M Now o ov pom foowg gom vop : gom : Sp : mo w popo Sg Yv [] w mo o ompo pom o fv u-pom MON og o TN foow: : M M M M M

5 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom : M M M M M : M M M M M : M M M M M : M K K M M M M Sp : Sov mo vu ov fuo u gv o Sp : opm po of u-pom o ouo X X Sp : vu of ov fuo po o p Sp : upp ow ou pv fo ov fuo } : m{ } : m{ X X Sp : T MON quv o foowg fuzz mo ug mmm qu []: w fuzz qu fuzz qu pv mg of fuzz om o ow g qu qu w p M S ov o mmz M fo v ov vu ow upp ou o g of of upp ou of ov fuo mmum p v of ov vu M Sp : T mmp fuo :

6 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom f f f pv p g of of v o f : o f f f o f f f o f f f f w > p M N m ow o m o p o M mo f w fuzz ov w fuzz o T ou g g of w fuzz ov uzz o m{ } w ov fo v fo M Sp : M o fom mo o p mo w ov u p N mo foow: M o: M T ov mo gom ummz foow: M gom of v uo uzz No- o ogmmg om o ov uo v gom vop foow w v fg ouo fo M ug - o opm gom : Sp : mmp fuo fom M fo of fuzz um ov fuo o of pom Sp : M o vu of Sp: ou uo o-fuzz -o- fo pogmmg pom -N ov o MON Sp : oop fomo [-] o ov MON o MON Sp : ou mo foowg fv u-pom MON og o TN p gom Sp : Sov mo = vu ov N o ouo fo X X Sp : upp ow ou pv fo

7 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom ov fuo m{ X } m{ X } Sp : MON quv o fuzz mo ug mmm qu Sp : mmp fuo pv fom M Mo fom o p mo w ov u p N mo Sp : f M f w u ouo u vu of ov fuo op Ow M o up g u o p N -N gv foowg ow: N -N = = = = = = = = = = N -N Num mp u o foowg N : M Suppo M m [ ] T mmp fuo u o ov N of ov pom o uo o-fuzz um - N f o pom = = = = = = = = om quv o foowg MON foow: M M M M M

8 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom fomo of oop [-] pom quv o foowg MON foow: M M M M M om fom o foowg fv upom MON foow: : M M M M M : M M M M M : M M M M M : M M M M M

9 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom : M M M M M Sov mo = g ov N T ow upp ou pv fo ov fuo = = MON quv o foowg fuzz mo : u uzg mmp fuo mo quv o foowg p mo : M Tg = ovg NO ouo w fo v = ONSON pp v mo fo ovg N w off of ov fuo o TN popo o - u w pf M popo mo N fom o MON u pom ov o N ug fuzz mm pogmmg ppo T popo mooog w v pfu fo o mg pom pg ug mufug m v u o fuu gom mof o ov go uo fuzz mo fo -v mu-ov o- fo pogmmg pom RRNS [] M Sw Yo v o Mg fo Mu- Ov No- ogmmg om w uzz m uzz S Sm - [] MSw Nz Y mu v uzz ogmmg fo Two-v o ogmmg om w uzz m uzz S Sm - [] M Sw Nz v uzz ogmmg fo Two- v o ogmmg om uzz S Sm - [] M Sw Nz mu v uzz ogmmg fo Two- v o ouo gm om: Su uop ou of Opo R - [] uzz S fomo oo - [] R m o Mg uzz vom Mgm S - [] KT ov uo uzz S V TKR So Sof [] K T ov uo uzz S uzz S Sm - [] KT ov uo uzz S [M] g: -Vg [] KT ov Nw Opo f ov uo uzz S uzz S Sm Vo -

10 o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom [] Szm Kpz uo uzz S om M ppo No o S - [] Szm Kpz M go Rog g Sm Mu fo uo uzz S No o S - [] R pz Ngoo RV uo uzz Mu-Ov No- ogmmg om MON g To S ppo of ovv R S gg Toog Vo u u [] S K Sg S Yv uo uzz No- ogmmg om: Mog Opmzo Mufug Sm of g & uzz Sm - [] SK Sg S Yv uzz ogmmg ppo fo Sovg uo uzz o ogmmg om uzz S - [] O Rouf M M zm Spm Mo gom fo Sovg o ogmmg om u fo v ompu S ppo Vo No [] ug Y R R No- o ogmmg ppo fo vom oom ow p ow g Sm - [] Vm M Sum uzz Mm ppo fo Sovg uzz o ogmmg om RRO Opo R - [] W oop ogmmg w o uo Nv R og Qu - - [] SM o v uzz ogmmg ppo o -v Qu o ogmmg om Op R - [] uo Opo o uzz Num Sm S - [] uo uzz S Sm: To ppo m Nw Yo [] mmm po Opmzo of uzz Sm S -

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