noun
biased view; favorable eye; seeing through rose-colored glasses
Refers to a tendency to view someone or something favorably due to personal bias or affection. Often used in phrases like ひいき目に見る (to look upon with favoritism) or ひいき目なしに (without bias).
親はどうしても子供をひいき目に見てしまう。
Parents inevitably see their children through rose-colored glasses.
ひいき目なしに言って、彼の作品は本当に素晴らしい。
Speaking without bias, his work is truly wonderful.
贔屓 is the noun meaning favoritism or partiality; ひいき目 specifically refers to the biased viewpoint or perspective that results from such favoritism.
Compound of 贔屓 (ひいき, 'favoritism') and 目 (め, 'eye'). The kanji 贔屓 are ateji; the word ひいき itself is of uncertain origin, possibly related to the verb 引く (ひく, 'to pull') or an onomatopoeic root.