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@article{206220,
        author = {Ramkrushna Mohan Chavhan},
        title = {Introduction To Analogical Proportion and Reasoning Based Inference},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {13},
        number = {2},
        pages = {668-672},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=206220},
        abstract = {In terms of Theorems in mathematics the proportions in analogy are one of the parts of human and artificial intelligence along with its creativity and application it builds mathematical concept including its theory. Reasoning, learning, language in the current paper we give introduction on the first principle of an abstract algebra in the form of analogical proportion of the form P is to q what is r is to s seen to be general algebra this allows us the comparison between different mathematical concept which have various domain here we discuss some elementary concept of Basic mathematics. The p analogical proportion is denoted by p: q: r: s means that numerically we can investigate pairs of (p, q) and (r, s) which can develop similar ratio for example (q – p = s – r) or q/p = s/r this feature makes it possessive property of arithmetic and geometric series. Analogical proportion is the foundation of conclusive mechanism which shows us to find fourth term from other terms. here we focus attention on case-based reasoning and decision.},
        keywords = {Analogical proportion, reasoning algebra, comparison.},
        month = {July},
        }