IFS

IFS is an acronym that can refer to several concepts across different fields. Two widely used meanings are Internal Family Systems in psychotherapy and Iterated Function System in fractal geometry.

Internal Family Systems (IFS) is a psychotherapeutic approach developed by Richard C. Schwartz in the 1980s. The model posits that the mind is composed of multiple parts, each with its own perspectives and memories. At the center is the Self, a core state described as calm, compassionate, and capable of healing. Parts are typically categorized as exiles (emotional wounds), managers (protecting against hurt), or firefighters (impulsive actions to suppress distress). A central premise of IFS is that parts are not inherently pathological but carry positive intentions, albeit often under extreme or unhelpful leadership. Therapy aims to access Self, unblend it from parts, and cultivate compassionate internal dialogue to heal exiles and reintegrate parts. Techniques include guided imagery, mindful listening, and facilitating unburdening of exiles. IFS is used in various clinical settings and has been complemented by empirical studies, though debates continue regarding the breadth of its evidence base and generalizability.

Iterated Function System (IFS) is a concept in fractal geometry and computer graphics. It consists of a finite set of contraction mappings on a complete metric space. The attractor of these mappings is a fractal, which can be generated by repeatedly applying the functions, either deterministically or probabilistically (the chaos game). Classic examples include the Cantor set and the Sierpinski triangle. IFS methods are used in fractal image compression, digital rendering, and modeling naturally occurring patterns due to their simple rules producing complex shapes.

In summary, IFS denotes distinct ideas in psychology and mathematics, each well established within its discipline.