مولانا مرغوب الرحمن
گزشتہ دنوں کا ایک بڑا مذہبی اور تعلیمی حادثہ، دارالعلوم دیوبند کے مہتمم مولانا مرغوب الرحمن کی وفات ہے، وہ ہمارے بزرگوں کی اس صف میں تھے جو اخلاص، تقویٰ، اﷲیت کی خوبیوں سے آراستہ تھی، اس کے ساتھ تدبیر اور نظم و نسق کی قوت میں بھی وہ ممتاز تھے، ان کی پیرانہ سالی اور امراض جسمانی کو دیکھا جائے تو حیرت ہوتی ہے کہ وہ دارالعلوم جیسے بڑے ادارے کے بارگراں کو کس طرح اٹھائے ہوئے تھے، اﷲ تعالیٰ اعلیٰ علیین میں جگہ دے اب ایسے بزرگوں کا نعم البدل تو کیا بدل بھی مشکل سے ملے گا۔ (جنوری ۲۰۱۱ء)
Hazrat Muhammad (SAW) is the last Apostle to human beings. He was gifted with a divine Deen having complete code of life. Every field of life has been discussed in the Holy Quran and Sunnah of the Prophet r. As an Apostle, head of the state and army commander, He guided the mankind and provided an excellent example in all the perspectives of life. As a commander of the Islamic forces, the Holy Prophet r fought twenty seven Ghazwat after migration to Madina. In Zeqaida 6 AH, during the pact of Hudaibia a complete turn was taken by Muslims. After this event, the Muslim army role changed to offensive rather than defensive. Immediately, after the pact, the Holy Prophet r attacked on Khyber in Muharram 7th AH, while the whole Hijaz region was captured during the Ghazwa Fath-i-Makkah. In this article, the strategy and tactics employed by the Holy Prophet r during Hudaibia truce have been discussed. These tactics are useful and beneficial in modern era warfare also. As an ideal for all the Ummah, lessons should be extracted by the commanders to defend their motherland and ideological boundries.
Vagueness arises in several complex issues of engineering, science and many other fields. These issues cannot be resolved using crisp mathematical methods. Rough set theory is an approach for dealing with the inaccurate and ambiguous knowledge. Because of the confinement of human’s learning to comprehend the perplexing issues, it is exceptionally hard to apply one kind of uncertainty technique to address such issues. Consequently, it is important to build hybrid models by combining the benefits of numerous other diverse mathematical models dealing with uncertainty. In this dissertation, the concepts and methods of fuzzy sets, rough sets and soft sets are applied to construct rough fuzzy digraphs and soft rough fuzzy digraphs. Several new concepts, concerning these digraphs are introduced. Also various properties of these two models are discussed in detail. Some real world problems are also presented and solved through these graphical models. Furthermore, efficient algorithms are designed to solve these problems and the time complexity of these algorithms are also computed.