Volume : 7, Issue : 1, January - 2018

FUZZY SETTING ON SUPRA ?-BAIRE SPACES

Dr. E. Poongothai, Dr. G. Thangaraj

Abstract :

<p>&nbsp;</p> <p class="MsoNormal" style="margin-top:12.0pt;margin-right:0in;margin-bottom:&#10;12.0pt;margin-left:0in;text-align:justify;text-justify:inter-ideograph;&#10;line-height:200%"><span style="font-size:12.0pt;line-height:200%;font-family:&#10;&quot;Times New Roman&quot;,&quot;serif&quot;">In this paper the concepts of fuzzy supra </span><!--[if gte msEquation 12]><m:oMath><i style=‘mso-bidi-font-style:normal‘><span style=‘font-size:12.0pt;line-height: 200%;font-family:"Camia Math","serif";mso-bidi-font-family:"Times New Roman"‘><m:r>σ</m:r><m:r>-</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:115%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:5.5pt;mso-text-raise:-5.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter" /> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0" /> <v:f eqn="sum @0 1 0" /> <v:f eqn="sum 0 0 @1" /> <v:f eqn="prod @2 1 2" /> <v:f eqn="prod @3 21600 pixelWidth" /> <v:f eqn="prod @3 21600 pixelHeight" /> <v:f eqn="sum @0 0 1" /> <v:f eqn="prod @6 1 2" /> <v:f eqn="prod @7 21600 pixelWidth" /> <v:f eqn="sum @8 21600 0" /> <v:f eqn="prod @7 21600 pixelHeight" /> <v:f eqn="sum @10 21600 0" /> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect" /> <o:lock v:ext="edit" aspectratio="t" /> </v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style=‘width:18.75pt; height:16.5pt‘> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image001.png" o:title="" chromakey="white" /> </v:shape><![endif]--><!--[if !vml]--><img width="25" height="22" src="file:///C:/Users/WWJ-08/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1025" alt="" /><!--[endif]--></span><!--[endif]--><span style="font-size:12.0pt;&#10;line-height:200%;font-family:&quot;Times New Roman&quot;,&quot;serif&quot;">Baire spaces are introduced and characterizations of fuzzy supra </span><!--[if gte msEquation 12]><m:oMath><i style=‘mso-bidi-font-style:normal‘><span style=‘font-size:12.0pt;line-height: 200%;font-family:"Camia Math","serif";mso-bidi-font-family:"Times New Roman"‘><m:r>σ</m:r><m:r>-</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:115%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:5.5pt;mso-text-raise:-5.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style=‘width:18.75pt;height:16.5pt‘> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image001.png" o:title="" chromakey="white" /> </v:shape><![endif]--><!--[if !vml]--><img width="25" height="22" src="file:///C:/Users/WWJ-08/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1025" alt="" /><!--[endif]--></span><!--[endif]--><span style="font-size:12.0pt;&#10;line-height:200%;font-family:&quot;Times New Roman&quot;,&quot;serif&quot;">Baire space are studied. Several exa</span><span style="font-size:12.0pt;mso-bidi-font-size:&#10;13.0pt;line-height:200%;font-family:&quot;Times New Roman&quot;,&quot;serif&quot;">mples are given to illustrate the concepts introduced in this paper.</span><span style="font-size:12.0pt;line-height:200%;font-family:&quot;Times New Roman&quot;,&quot;serif&quot;"><o:p></o:p></span></p>