Page 102 - Pure Life 36
P. 102

A Logical Analysis of Mental Health… M. Najafi & H. Vakili (101

               The  “class  of  the  round            could  be  associated  with  1
            objects” does not constitute a            and  the  opposite  side  (not

            class      in     the      regular        being round) to zero.
            mathematical  sense.  The  Sun               Consequently, the grade of
            and Mars have an ambiguous                membership  of  the  billiard

            relation with the class. The set          ball  is  more  than  one  that
            is  fuzzy  one  “R”  and  the             belongs  to  Mars.  It  indicates
            billiard ball “B”, the Sun “S”,           that in comparison with Mars,

            and Mars “M” are some of its              the  ball  has  more  benefited
            members.  Each  member  “B”,              from      the     property      of
            “S”,  and  “M”  possesses  the            roundness in its constitution.

            grade of membership illustrated              According         to      fuzzy
            by a number in the interval [0,           thinking,  there  is  no  special
            1]. If the value of a member is           dividing      border     between

            near  1,  the  higher  grade  of          different     properties.    Each
            membership         it   occupies.         instance could accept a value
            (Aliaskerzadeh, 1965)                     that  represents  its  grade  of

               Aristotelian logic classifies          membership.  Consider  the
            objects  under  two  options              example  of  caterpillar  and
            namely  a  property  and  its             butterfly aging.  A caterpillar’s

            inverse whereas fuzzy thought             number  connected  with  a
            rates  them  as  a  combination           caterpillar’s  set  decreases.  It
            of     the    two      conflicting        gradually  changes  from  1  to
            properties. The approximation             zero.

            of  a  member  to  each  side  is            Simultaneously the number
            ascertained by its value. In the          representing  its  membership
            foregoing  case,  roundness               in  butterfly’s  set  gradually
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